amar dutta - Academia.edu (original) (raw)
Papers by amar dutta
Abstract. In this paper we have introduced the sequence space (ℓp) F θ. We have established a rel... more Abstract. In this paper we have introduced the sequence space (ℓp) F θ. We have established a relation between (ℓp) F θ and Ces(p). We have studied some algebraic properties like solidness, symmetricness, convergence free and provided some inclusion results.
In this article we introduce the notion of different types of statistically convergent and statis... more In this article we introduce the notion of different types of statistically convergent and statistically null fuzzy real-valued double sequence spaces. We study their different properties like solidness, symmetric, convergence free, sequence algebra etc. The fuzzy real-valued Cesàro summable double sequence space is introduced. A relation between strongly p-Cesàro summability and bounded statistically convergent double sequences has been established.
International Journal of Analysis, Jan 17, 2013
Mathematical and Computer Modelling, Nov 1, 2007
In this article we introduce the fuzzy real-valued double sequence space ℓFp2. We study different... more In this article we introduce the fuzzy real-valued double sequence space ℓFp2. We study different properties of the space like completeness, solidity, symmetry, convergence free, sequence algebra, etc. We prove some inclusion results too.
Trends in Mathematics, 2017
In this article we have introduced the class of sequence l i ( p) of interval numbers. We establi... more In this article we have introduced the class of sequence l i ( p) of interval numbers. We established some properties like completeness, linearity, symmetric and some inclusion relation.
Afrika Matematika, 2014
The main purpose of this paper is to introduce the criterion for the regularity of a matrix whose... more The main purpose of this paper is to introduce the criterion for the regularity of a matrix whose elements are interval numbers and define a regular matrixF of interval numbers using fibonacci numbers and to introduce some new sequence spaces c i 0 (F), c i (F), l i ∞ (F) based on the newly defined regular matrix of interval numbersF and investigate some relations related to these spaces.
Trends in mathematics, 2017
In this article we have introduced the class of sequence l i ( p) of interval numbers. We establi... more In this article we have introduced the class of sequence l i ( p) of interval numbers. We established some properties like completeness, linearity, symmetric and some inclusion relation.
Thai Journal of Mathematics, 2017
The aim of this article is to introduce the classes of strong Deltam\Delta^mDeltam-lacunary asymptotically ... more The aim of this article is to introduce the classes of strong Deltam\Delta^mDeltam-lacunary asymptotically equivalent, Deltam\Delta^mDeltam-lacunary asymptotically statistically equivalent, strong Deltam\Delta^mDeltam-almost asymptotically equivalent sequences of fuzzy real numbers in terms of Orlicz function. We have established some relations between the classes of the sequences.
Journal of Intelligent & Fuzzy Systems
Journal of Intelligent & Fuzzy Systems
ABSTRACT In this article we have introduced the concept of lacunary bounded variation sequence of... more ABSTRACT In this article we have introduced the concept of lacunary bounded variation sequence of fuzzy real numbers. We have verified some properties like solid, symmetric, convergence free etc. and also proved some inclusion results.
Proyecciones (Antofagasta)
In this article we introduce the notation difference operator ∆ m (m ≥ 0 be an integer) for study... more In this article we introduce the notation difference operator ∆ m (m ≥ 0 be an integer) for studying some properties defined with interval numbers. We introduced the classes of sequence¯ (p)(∆ m),c(p)(∆ m) andc 0 (p)(∆ m) and investigate different algebraic properties like completeness, solidness, convergence free etc.
Mathematical and Computer Modelling, 2007
Kuwait Journal of Science, Sep 29, 2014
Proyecciones (Antofagasta), 2015
In this article we introduce the concept of lacunary I-convergent sequence of fuzzy real numbers ... more In this article we introduce the concept of lacunary I-convergent sequence of fuzzy real numbers and the spaces and. We also obtain some inclusion relations between these spaces.
Demonstratio Mathematica, 2014
In this article, we introduce the class of p-absolutely summable fuzzy real valued double sequence (
Proyecciones (Antofagasta), 2014
In this article we have defined statistically pre-Cauchy sequence of fuzzy real numbers defined b... more In this article we have defined statistically pre-Cauchy sequence of fuzzy real numbers defined by Orlicz function. We have proved a necessary and sufficient condition for a sequence X = (X k) of fuzzy real numbers to be statistically pre-Cauchy. We have also established some other results.
Acta Scientiarum. Technology, 2013
In this paper we have introduced the notion of fuzzy real-valued p-bounded variation double seque... more In this paper we have introduced the notion of fuzzy real-valued p-bounded variation double sequence space p F bv 2 (1 ≤ p < ∞). We have studied some important properties like completeness, convergence free, solid, symmetric. Some inclusion results are also established.
Abstract. In this paper we have introduced the sequence space (ℓp) F θ. We have established a rel... more Abstract. In this paper we have introduced the sequence space (ℓp) F θ. We have established a relation between (ℓp) F θ and Ces(p). We have studied some algebraic properties like solidness, symmetricness, convergence free and provided some inclusion results.
In this article we introduce the notion of different types of statistically convergent and statis... more In this article we introduce the notion of different types of statistically convergent and statistically null fuzzy real-valued double sequence spaces. We study their different properties like solidness, symmetric, convergence free, sequence algebra etc. The fuzzy real-valued Cesàro summable double sequence space is introduced. A relation between strongly p-Cesàro summability and bounded statistically convergent double sequences has been established.
International Journal of Analysis, Jan 17, 2013
Mathematical and Computer Modelling, Nov 1, 2007
In this article we introduce the fuzzy real-valued double sequence space ℓFp2. We study different... more In this article we introduce the fuzzy real-valued double sequence space ℓFp2. We study different properties of the space like completeness, solidity, symmetry, convergence free, sequence algebra, etc. We prove some inclusion results too.
Trends in Mathematics, 2017
In this article we have introduced the class of sequence l i ( p) of interval numbers. We establi... more In this article we have introduced the class of sequence l i ( p) of interval numbers. We established some properties like completeness, linearity, symmetric and some inclusion relation.
Afrika Matematika, 2014
The main purpose of this paper is to introduce the criterion for the regularity of a matrix whose... more The main purpose of this paper is to introduce the criterion for the regularity of a matrix whose elements are interval numbers and define a regular matrixF of interval numbers using fibonacci numbers and to introduce some new sequence spaces c i 0 (F), c i (F), l i ∞ (F) based on the newly defined regular matrix of interval numbersF and investigate some relations related to these spaces.
Trends in mathematics, 2017
In this article we have introduced the class of sequence l i ( p) of interval numbers. We establi... more In this article we have introduced the class of sequence l i ( p) of interval numbers. We established some properties like completeness, linearity, symmetric and some inclusion relation.
Thai Journal of Mathematics, 2017
The aim of this article is to introduce the classes of strong Deltam\Delta^mDeltam-lacunary asymptotically ... more The aim of this article is to introduce the classes of strong Deltam\Delta^mDeltam-lacunary asymptotically equivalent, Deltam\Delta^mDeltam-lacunary asymptotically statistically equivalent, strong Deltam\Delta^mDeltam-almost asymptotically equivalent sequences of fuzzy real numbers in terms of Orlicz function. We have established some relations between the classes of the sequences.
Journal of Intelligent & Fuzzy Systems
Journal of Intelligent & Fuzzy Systems
ABSTRACT In this article we have introduced the concept of lacunary bounded variation sequence of... more ABSTRACT In this article we have introduced the concept of lacunary bounded variation sequence of fuzzy real numbers. We have verified some properties like solid, symmetric, convergence free etc. and also proved some inclusion results.
Proyecciones (Antofagasta)
In this article we introduce the notation difference operator ∆ m (m ≥ 0 be an integer) for study... more In this article we introduce the notation difference operator ∆ m (m ≥ 0 be an integer) for studying some properties defined with interval numbers. We introduced the classes of sequence¯ (p)(∆ m),c(p)(∆ m) andc 0 (p)(∆ m) and investigate different algebraic properties like completeness, solidness, convergence free etc.
Mathematical and Computer Modelling, 2007
Kuwait Journal of Science, Sep 29, 2014
Proyecciones (Antofagasta), 2015
In this article we introduce the concept of lacunary I-convergent sequence of fuzzy real numbers ... more In this article we introduce the concept of lacunary I-convergent sequence of fuzzy real numbers and the spaces and. We also obtain some inclusion relations between these spaces.
Demonstratio Mathematica, 2014
In this article, we introduce the class of p-absolutely summable fuzzy real valued double sequence (
Proyecciones (Antofagasta), 2014
In this article we have defined statistically pre-Cauchy sequence of fuzzy real numbers defined b... more In this article we have defined statistically pre-Cauchy sequence of fuzzy real numbers defined by Orlicz function. We have proved a necessary and sufficient condition for a sequence X = (X k) of fuzzy real numbers to be statistically pre-Cauchy. We have also established some other results.
Acta Scientiarum. Technology, 2013
In this paper we have introduced the notion of fuzzy real-valued p-bounded variation double seque... more In this paper we have introduced the notion of fuzzy real-valued p-bounded variation double sequence space p F bv 2 (1 ≤ p < ∞). We have studied some important properties like completeness, convergence free, solid, symmetric. Some inclusion results are also established.