Simultaneous Approximation for Generalized Baskakov-Durrmeyer-Type Operators (original) (raw)

On Simultaneous Approximation for Certain Baskakov Durrmeyer Type Operators

Journal of Inequalities in Pure and Applied Mathematics, 2006

In the present paper, we study a certain integral modification of the well known Baskakov operators with the weight function of Beta basis function. We establish pointwise convergence, an asymptotic formula an error estimation and an inverse result in simultaneous approximation for these new operators.

Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators

In the present paper, we establish some direct results in simultaneous approximation for Baskakov-Durrmeyer-Stancu (abbr. BDS) operators D ða;bÞ n ðf; xÞ. We establish point-wise convergence, Voronovskaja type asymptotic formula and an error estimate in terms of second order modulus of continuity of the function.

Approximation Of Function By alpha−\alpha-alpha−Baskakov Durrmeyer Type Operators

2020

In the present note, we give the generalization of α−Baskakov Durrmeyer operators depending on a real parameter ρ > 0. We present the approximation results in Korovkin and weighted Korovkin spaces. We also prove the order of approximation, rate of approximation for these operators. In the end, we verify our results with the help of numerical examples by using Mathematica.

Approximation by modified Jain–Baskakov operators

Georgian Mathematical Journal, 2019

In the present paper, we discuss the approximation properties of Jain–Baskakov operators with parameterc. The paper deals with the modified forms of the Baskakov basis functions. Some direct results are established, which include the asymptotic formula, error estimation in terms of the modulus of continuity and weighted approximation. Also, we construct the King modification of these operators, which preserves the test functions{e_{0}}and{e_{1}}. It is shown that these King type operators provide a better approximation order than some Baskakov–Durrmeyer operators for continuous functions defined on some closed intervals.

On the degree of approximation by new Durrmeyer type operators 1

2010

In this paper, we deflne a new kind of positive linear operators and study basic properties as well as Voronovskaya type results. In the last section of this paper we establish the error estimation for simultaneous approximation in terms of higher order modulus of continuity by using the technique of linear approximating method viz Steklov mean. 2000 Mathematics Subject Classiflcation: 41A30, 41A36.

On the integrated Baskakov type operators

Applied Mathematics and Computation, 2009

The present paper deals with the study of the rate of convergence of the integrated Baskakov-Durrmeyer type operators in simultaneous approximation. We also mention some of the improvements on the recent paper of Deo [N. Deo, Direct results on exponential type operators, Applied Mathematics and Computation 204 ].

On Approximation of Baskakov-Durrmeyer Type Operators of Two Variables

2016

In this study, we have constructed a sequence of positive linear operators with two variables by using Baskakov-Durrmeyer type operators. We study approximation these operators and give a Voronovskaja type theorem. Furthermore , we study of the linear positive operators in a weighted space of functions of two variables and find the rate of these convergence using weighted modulus of continuity.

Improved approximation on Durrmeyer-type operators

Boletín de la Sociedad Matemática Mexicana

In the present paper, we consider the Durrmeyer-type operators, some of which reproduce the linear functions, while some the constant functions only. We observe that the order of approximation for these operators is O(n −1); here, we consider the linear combinations of such operators and study some approximation properties for these operators. Our results essentially improve the order of approximation.

On the degree of approximation by new Durrmeyer type operators

General Math, 2010

In this paper, we define a new kind of positive linear operators and study basic properties as well as Voronovskaya type results. In the last section of this paper we establish the error estimation for simultaneous approximation in terms of higher order modulus of ...