Danyal soybaş - Academia.edu (original) (raw)
Papers by Danyal soybaş
kefdergi.com
... 138 Hayri AKAY, Danyal SOYBAŞ, Ziya ARGÜN Mart 2006 Cilt:14 No:1 Kastamonu Eğitim Dergisi Sın... more ... 138 Hayri AKAY, Danyal SOYBAŞ, Ziya ARGÜN Mart 2006 Cilt:14 No:1 Kastamonu Eğitim Dergisi Sınıflandırma Türü Öğrenci sayısı Öğrenci Cevapları MM 1 Kilodan kiloya fark eder. Herkesin kilosu birbirine eşit değildir. Örneğin Ali'nin kilosu 70 Velinin kilosu ise 40 tır. ...
Journal of Mathematics
The modified Zakharov–Kuznetsov (mZK) and the (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff ... more The modified Zakharov–Kuznetsov (mZK) and the (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff (CBS) models convey a significant role to instruct the internal structure of tangible composite phenomena in the domain of two-dimensional discrete electrical lattice, plasma physics, wave behaviors of deep oceans, nonlinear optics, etc. In this article, the dynamic, companionable, and further broad-spectrum exact solitary solitons are extracted to the formerly stated nonlinear models by the aid of the recently enhanced auxiliary equation method through the traveling wave transformation. The implication of the soliton solutions attained with arbitrary constants can be substantial to interpret the involuted phenomena. The established soliton solutions show that the approach is broad-spectrum, efficient, and algebraic computing friendly and it may be used to classify a variety of wave shapes. We analyze the achieved solitons by sketching figures for distinct values of the associated parame...
In this study, the solvability of a problem of the heat conduction theory with two nonlocal bound... more In this study, the solvability of a problem of the heat conduction theory with two nonlocal boundary conditions is investigated. Systems of eigenfunctions of the corresponding operator with two nonlocal boundary conditions are taken into consideration. A theorem on the solvability of the problem of the theory of heat conduction with two nonlocal boundary conditions is given
Excellence in Education Journal, 2020
The aim of this study was to determine learning difficulties and misunderstanding in multipliersa... more The aim of this study was to determine learning difficulties and misunderstanding in multipliersand factors of middle school students in Kayseri, Turkey. One hundred and seven students from6th grade and 48 students from 8th grade were selected randomly from three middle schools forthe study. A questionnaire, which was developed by the first researcher, including two openended questions, eleven multiple choice questions, and one true-false question was prepared foreach group. Students solved each question and explained how they solved them. Also, it wasrequested verbally to fill in the solutions. Besides these questions, it was requested from thestudents to answer how they use the subjects of multiplication and factors in their daily lives andhow these subjects affected their attitudes and treatments towards mathematics. According to theevaluations of this research, some suggestions were made for students’ learning difficulties andconcept misunderstanding about multipliers and factors. </p
International Journal of Nonlinear Sciences and Numerical Simulation, 2021
The time-fractional generalized biological population model and the (2, 2, 2) Zakharov–Kuznetsov ... more The time-fractional generalized biological population model and the (2, 2, 2) Zakharov–Kuznetsov (ZK) equation are significant modeling equations to analyse biological population, ion-acoustic waves in plasma, electromagnetic waves, viscoelasticity waves, material science, probability and statistics, signal processing, etc. The new generalized G ′ / G left(Gprime/Gright)\left({G}^{\prime }/G\right)left(Gprime/Gright) -expansion method is consistent, computer algebra friendly, worthwhile through yielding closed-form general soliton solutions in terms of trigonometric, rational and hyperbolic functions associated to subjective parameters. For the definite values of the parameters, some well-established and advanced solutions are accessible from the general solution. The solutions have been analysed by means of diagrams to understand the intricate internal structures. It can be asserted that the method can be used to compute solitary wave solutions to other fractional nonlinear differential equations by means of fraction...
Advances in Mathematical Physics, 2021
Three nonlinear fractional models, videlicet, the space-time fractional Boussinesq equation, - di... more Three nonlinear fractional models, videlicet, the space-time fractional Boussinesq equation, - dimensional breaking soliton equations, and SRLW equation, are the important mathematical approaches to elucidate the gravitational water wave mechanics, the fractional quantum mechanics, the theoretical Huygens’ principle, the movement of turbulent flows, the ion osculate waves in plasma physics, the wave of leading fluid flow, etc. This paper is devoted to studying the dynamics of the traveling wave with fractional conformable nonlinear evaluation equations (NLEEs) arising in nonlinear wave mechanics. By utilizing the oncoming - expansion technique, a series of novel exact solutions in terms of rational, periodic, and hyperbolic functions for the fractional cases are derived. These types of long-wave propagation phenomena played a dynamic role to interpret the water waves as well as mathematical physics. Here, the form of the accomplished solutions containing the hyperbolic, rational, an...
This study was carried out to examine the integration of the calculator TI-92 in the secondary le... more This study was carried out to examine the integration of the calculator TI-92 in the secondary level. As a symbolic calculator, the TI-92 is equipped with Derive which is a symbolic calculation program and Cabri which is a geometry program. This study only dealt with the part concerned with the program Derive. First of all we determined the potentials and limitations, then we seek a response to the question which «benefits» can we expect at the learning level of the students?
Bu araştırma, TI-92 hesap makinesinin ortaöğretim seviyesine entegrasyonunu incelemek üzere yapıl... more Bu araştırma, TI-92 hesap makinesinin ortaöğretim seviyesine entegrasyonunu incelemek üzere yapılmıştır. TI-92 hesap makinesi bir sembolik hesap programı olan Derive ve bir geometri programı olan Cabri programlarıyla donatılmıştır. Bu araştırmada sadece Derive programı ile ilgili olan kısmı incelenmiştir. İlk olarak yeterliliklerini ve sınırlılıklarını belirledikten sonra, öğrencilerin öğrenme aşamasında, ne gibi « faydalarını » bekleyebiliriz sorusuna cevap arayacağız.
Springer Optimization and Its Applications, 2014
Simple Proofs of Some Bernstein-Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold).- H... more Simple Proofs of Some Bernstein-Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold).- Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnic).- On the Mazur-Ulam Theorem (M. Aghajani).- A Fixed Point Approach to Stability of the Quadratic Equation (M. Almahalebi, A. Charifi, S. Kabbaj, E. Elqorachi).- Aspects of Global Analysis of Circle-Valued Mappings (D. Andrica, D. Mangra, C. Pintea).- A Remark on Some Simultaneous Functional Inequalities in Riesz Spaces (B. Batko, J. Brzdek).- Elliptic Problems on the Sierpinski Gasket (B.E. Breckner, C. Varga).- Initial Value Problems in Linear Integral Operator Equations (L.P. Castro, M.M. Rodrigues, S. Saitoh).- Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings (T. Chirila).- Normal Cones and Thompson Metric (S. Cobzas, M.-D. Rus).- Functional Operators and Approximate Solutions of Functional Equations (S. Czerwik, K. Krol).- Markov-Type Inequalities with Applications in Multivariate Approximation Theory (N.J. Daras).- The Number of Prime Factors Function on Shifted Primes and Normal Numbers (J.-M. De Koninck, I. Katai).- Imbedding Inequalities for Composition of Green's and Potential Operators (S. Ding, Y. Xing).- On Approximation Properties of q-King Operators (Z. Finta).- Certain Szasz-Mirakyan-Beta Operators (N.K. Govil, V. Gupta, D. Soybas).- Extremal Problems and g-Loewner Chains in Cn and Reflexive Complex Banach Spaces (I. Graham, H. Hamada, G. Kohr).- Different Durrmeyer Variants of Baskakov Operators (V. Gupta).- Hypergeometric Representation of Certain Summation-Integral Operators (V. Gupta, T.M. Rassias).- On a Hybrid Fourth Moment Involving the Riemann Zeta-Function (A. Ivic, W. Zhai).- On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends (M. Kohr, C. Pintea).- Meaned Spaces and a General Duality Principle (J. Kolumban, J.J. Kolumban).- An AQCQ-Functional Equation in Matrix Random Normed Spaces (J.R. Lee, C. Park, T.M. Rassias).- A Planar Location-Allocation Problem with Waiting Time Costs (L. Mallozzi, E. D'Amato, E. Daniele).- The Stability of an Affine Type Functional Equation with the Fixed Point Alternative (M. Mursaleen, K.J. Ansari).- On Some Integral Operators (K.I. Noor).- Integer Points in Large Bodies (W.G. Nowak).- On the Orderability Problem and the Interval Topology (K. Papadopoulos).- A Class of Functional-Integral Equations with Applications to a Bilocal Problem (A. Petrusel, I.A. Rus).- Hyperbolic Wavelets (F. Schipp).- One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann's Zeta-Function (J. Steuding).- On the Energy of Graphs (I. Triantafillou).- Implicit Contractive Maps in Ordered Metric Spaces (M. Turinici).- Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam (F. Weisz).- Multidimensional Hilbert-Type Integral Inequalities and Their Operators (B. Yang).
Communications in Nonlinear Science and Numerical Simulation, 2022
The Journal of Nonlinear Sciences and Applications, 2017
Filomat, 2020
The approximation of difference of two linear positive operators having different basis functions... more The approximation of difference of two linear positive operators having different basis functions is discussed in the present article. The quantitative estimates in terms of weighted modulus of continuity for the difference of Lupaş operators and the classical ones are obtained, viz. Lupaş and Baskakov operators, Lupaş and Szász operators, Lupaş and Baskakov-Kantorovich operators, Lupaş and Szász-Kantorovich operators. Dedicated to Prof. Hari M. Srivastava
This study aims to not only determine the views of prospective elementary teacher about Polya’s f... more This study aims to not only determine the views of prospective elementary teacher about Polya’s four-step problem-solving process used in mathematics teaching, the problem concept and characteristics of nonroutine problems and their solutions, but also to investigate the level of knowledge about some important points concerning these concepts that prospective elementary teacher need to sufficiently know. The research sample consists of 43 prospective elementary teachers from an education faculty of a state university in Turkey. The data were obtained from the answers the prospective elementary teachers wrote on the working papers that include various styles (multiple choice, true–false judgments selection, and open-ended) of questions. Both quantitative and qualitative assessment tools were employed in the analysis of the data.
... Later on sequences of fuzzy numbers have been discussed in the studies by Nanda (1989), Nuray... more ... Later on sequences of fuzzy numbers have been discussed in the studies by Nanda (1989), Nuray (1998), Kwon (2000), Savaş (2000), Wu (2002 ... also refer the readers to some recent studies concerning diference sequence spaces of fuzzy numbers (Altin et al., 2007; Altinok et al ...
kefdergi.com
... 138 Hayri AKAY, Danyal SOYBAŞ, Ziya ARGÜN Mart 2006 Cilt:14 No:1 Kastamonu Eğitim Dergisi Sın... more ... 138 Hayri AKAY, Danyal SOYBAŞ, Ziya ARGÜN Mart 2006 Cilt:14 No:1 Kastamonu Eğitim Dergisi Sınıflandırma Türü Öğrenci sayısı Öğrenci Cevapları MM 1 Kilodan kiloya fark eder. Herkesin kilosu birbirine eşit değildir. Örneğin Ali&#x27;nin kilosu 70 Velinin kilosu ise 40 tır. ...
Journal of Mathematics
The modified Zakharov–Kuznetsov (mZK) and the (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff ... more The modified Zakharov–Kuznetsov (mZK) and the (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff (CBS) models convey a significant role to instruct the internal structure of tangible composite phenomena in the domain of two-dimensional discrete electrical lattice, plasma physics, wave behaviors of deep oceans, nonlinear optics, etc. In this article, the dynamic, companionable, and further broad-spectrum exact solitary solitons are extracted to the formerly stated nonlinear models by the aid of the recently enhanced auxiliary equation method through the traveling wave transformation. The implication of the soliton solutions attained with arbitrary constants can be substantial to interpret the involuted phenomena. The established soliton solutions show that the approach is broad-spectrum, efficient, and algebraic computing friendly and it may be used to classify a variety of wave shapes. We analyze the achieved solitons by sketching figures for distinct values of the associated parame...
In this study, the solvability of a problem of the heat conduction theory with two nonlocal bound... more In this study, the solvability of a problem of the heat conduction theory with two nonlocal boundary conditions is investigated. Systems of eigenfunctions of the corresponding operator with two nonlocal boundary conditions are taken into consideration. A theorem on the solvability of the problem of the theory of heat conduction with two nonlocal boundary conditions is given
Excellence in Education Journal, 2020
The aim of this study was to determine learning difficulties and misunderstanding in multipliersa... more The aim of this study was to determine learning difficulties and misunderstanding in multipliersand factors of middle school students in Kayseri, Turkey. One hundred and seven students from6th grade and 48 students from 8th grade were selected randomly from three middle schools forthe study. A questionnaire, which was developed by the first researcher, including two openended questions, eleven multiple choice questions, and one true-false question was prepared foreach group. Students solved each question and explained how they solved them. Also, it wasrequested verbally to fill in the solutions. Besides these questions, it was requested from thestudents to answer how they use the subjects of multiplication and factors in their daily lives andhow these subjects affected their attitudes and treatments towards mathematics. According to theevaluations of this research, some suggestions were made for students’ learning difficulties andconcept misunderstanding about multipliers and factors. </p
International Journal of Nonlinear Sciences and Numerical Simulation, 2021
The time-fractional generalized biological population model and the (2, 2, 2) Zakharov–Kuznetsov ... more The time-fractional generalized biological population model and the (2, 2, 2) Zakharov–Kuznetsov (ZK) equation are significant modeling equations to analyse biological population, ion-acoustic waves in plasma, electromagnetic waves, viscoelasticity waves, material science, probability and statistics, signal processing, etc. The new generalized G ′ / G left(Gprime/Gright)\left({G}^{\prime }/G\right)left(Gprime/Gright) -expansion method is consistent, computer algebra friendly, worthwhile through yielding closed-form general soliton solutions in terms of trigonometric, rational and hyperbolic functions associated to subjective parameters. For the definite values of the parameters, some well-established and advanced solutions are accessible from the general solution. The solutions have been analysed by means of diagrams to understand the intricate internal structures. It can be asserted that the method can be used to compute solitary wave solutions to other fractional nonlinear differential equations by means of fraction...
Advances in Mathematical Physics, 2021
Three nonlinear fractional models, videlicet, the space-time fractional Boussinesq equation, - di... more Three nonlinear fractional models, videlicet, the space-time fractional Boussinesq equation, - dimensional breaking soliton equations, and SRLW equation, are the important mathematical approaches to elucidate the gravitational water wave mechanics, the fractional quantum mechanics, the theoretical Huygens’ principle, the movement of turbulent flows, the ion osculate waves in plasma physics, the wave of leading fluid flow, etc. This paper is devoted to studying the dynamics of the traveling wave with fractional conformable nonlinear evaluation equations (NLEEs) arising in nonlinear wave mechanics. By utilizing the oncoming - expansion technique, a series of novel exact solutions in terms of rational, periodic, and hyperbolic functions for the fractional cases are derived. These types of long-wave propagation phenomena played a dynamic role to interpret the water waves as well as mathematical physics. Here, the form of the accomplished solutions containing the hyperbolic, rational, an...
This study was carried out to examine the integration of the calculator TI-92 in the secondary le... more This study was carried out to examine the integration of the calculator TI-92 in the secondary level. As a symbolic calculator, the TI-92 is equipped with Derive which is a symbolic calculation program and Cabri which is a geometry program. This study only dealt with the part concerned with the program Derive. First of all we determined the potentials and limitations, then we seek a response to the question which «benefits» can we expect at the learning level of the students?
Bu araştırma, TI-92 hesap makinesinin ortaöğretim seviyesine entegrasyonunu incelemek üzere yapıl... more Bu araştırma, TI-92 hesap makinesinin ortaöğretim seviyesine entegrasyonunu incelemek üzere yapılmıştır. TI-92 hesap makinesi bir sembolik hesap programı olan Derive ve bir geometri programı olan Cabri programlarıyla donatılmıştır. Bu araştırmada sadece Derive programı ile ilgili olan kısmı incelenmiştir. İlk olarak yeterliliklerini ve sınırlılıklarını belirledikten sonra, öğrencilerin öğrenme aşamasında, ne gibi « faydalarını » bekleyebiliriz sorusuna cevap arayacağız.
Springer Optimization and Its Applications, 2014
Simple Proofs of Some Bernstein-Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold).- H... more Simple Proofs of Some Bernstein-Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold).- Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnic).- On the Mazur-Ulam Theorem (M. Aghajani).- A Fixed Point Approach to Stability of the Quadratic Equation (M. Almahalebi, A. Charifi, S. Kabbaj, E. Elqorachi).- Aspects of Global Analysis of Circle-Valued Mappings (D. Andrica, D. Mangra, C. Pintea).- A Remark on Some Simultaneous Functional Inequalities in Riesz Spaces (B. Batko, J. Brzdek).- Elliptic Problems on the Sierpinski Gasket (B.E. Breckner, C. Varga).- Initial Value Problems in Linear Integral Operator Equations (L.P. Castro, M.M. Rodrigues, S. Saitoh).- Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings (T. Chirila).- Normal Cones and Thompson Metric (S. Cobzas, M.-D. Rus).- Functional Operators and Approximate Solutions of Functional Equations (S. Czerwik, K. Krol).- Markov-Type Inequalities with Applications in Multivariate Approximation Theory (N.J. Daras).- The Number of Prime Factors Function on Shifted Primes and Normal Numbers (J.-M. De Koninck, I. Katai).- Imbedding Inequalities for Composition of Green's and Potential Operators (S. Ding, Y. Xing).- On Approximation Properties of q-King Operators (Z. Finta).- Certain Szasz-Mirakyan-Beta Operators (N.K. Govil, V. Gupta, D. Soybas).- Extremal Problems and g-Loewner Chains in Cn and Reflexive Complex Banach Spaces (I. Graham, H. Hamada, G. Kohr).- Different Durrmeyer Variants of Baskakov Operators (V. Gupta).- Hypergeometric Representation of Certain Summation-Integral Operators (V. Gupta, T.M. Rassias).- On a Hybrid Fourth Moment Involving the Riemann Zeta-Function (A. Ivic, W. Zhai).- On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends (M. Kohr, C. Pintea).- Meaned Spaces and a General Duality Principle (J. Kolumban, J.J. Kolumban).- An AQCQ-Functional Equation in Matrix Random Normed Spaces (J.R. Lee, C. Park, T.M. Rassias).- A Planar Location-Allocation Problem with Waiting Time Costs (L. Mallozzi, E. D'Amato, E. Daniele).- The Stability of an Affine Type Functional Equation with the Fixed Point Alternative (M. Mursaleen, K.J. Ansari).- On Some Integral Operators (K.I. Noor).- Integer Points in Large Bodies (W.G. Nowak).- On the Orderability Problem and the Interval Topology (K. Papadopoulos).- A Class of Functional-Integral Equations with Applications to a Bilocal Problem (A. Petrusel, I.A. Rus).- Hyperbolic Wavelets (F. Schipp).- One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann's Zeta-Function (J. Steuding).- On the Energy of Graphs (I. Triantafillou).- Implicit Contractive Maps in Ordered Metric Spaces (M. Turinici).- Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam (F. Weisz).- Multidimensional Hilbert-Type Integral Inequalities and Their Operators (B. Yang).
Communications in Nonlinear Science and Numerical Simulation, 2022
The Journal of Nonlinear Sciences and Applications, 2017
Filomat, 2020
The approximation of difference of two linear positive operators having different basis functions... more The approximation of difference of two linear positive operators having different basis functions is discussed in the present article. The quantitative estimates in terms of weighted modulus of continuity for the difference of Lupaş operators and the classical ones are obtained, viz. Lupaş and Baskakov operators, Lupaş and Szász operators, Lupaş and Baskakov-Kantorovich operators, Lupaş and Szász-Kantorovich operators. Dedicated to Prof. Hari M. Srivastava
This study aims to not only determine the views of prospective elementary teacher about Polya’s f... more This study aims to not only determine the views of prospective elementary teacher about Polya’s four-step problem-solving process used in mathematics teaching, the problem concept and characteristics of nonroutine problems and their solutions, but also to investigate the level of knowledge about some important points concerning these concepts that prospective elementary teacher need to sufficiently know. The research sample consists of 43 prospective elementary teachers from an education faculty of a state university in Turkey. The data were obtained from the answers the prospective elementary teachers wrote on the working papers that include various styles (multiple choice, true–false judgments selection, and open-ended) of questions. Both quantitative and qualitative assessment tools were employed in the analysis of the data.
... Later on sequences of fuzzy numbers have been discussed in the studies by Nanda (1989), Nuray... more ... Later on sequences of fuzzy numbers have been discussed in the studies by Nanda (1989), Nuray (1998), Kwon (2000), Savaş (2000), Wu (2002 ... also refer the readers to some recent studies concerning diference sequence spaces of fuzzy numbers (Altin et al., 2007; Altinok et al ...