## Abstract

The present paper deals with the approximation of Bezier variants of Baskakov-Kantorovich operators \(V_{n,\alpha}^{\ast}\) in the case \(0<\alpha<1\). Pointwise approximation properties of the operators \(V_{n,\alpha}^{\ast}\) are studied. A convergence theorem of this type approximation for locally bounded functions is established. This convergence theorem subsumes the approximation of functions of bounded variation as a special case.

## Authors

**Xiao-Ming Zeng,
**Department of Mathematics, Xiamen University, Xiamen 361005, China

**Vijay Gupta**

Department of Mathematics, Netaji Subhas Institute of Technology,New Delhi-110078, India

**Octavian Agratini**

Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

## Keywords

Approximation; Baskakov-Kantorovich operators; Bezier variant; locally bounded functions; Lebesgue-Stieltjes integral.

## Paper coordinates

M. Zeng, V. Gupta, O. Agratini, *Approximation by Bézier variant of the Baskakov- Kantorovich operators in the case*, The Rocky Mountain Journal of Mathematics, **44** (2014) no. 1, pp. 317-327. https://doi.org/10.1216/RMJ-2014-44-1-317

## About this paper

##### Journal

Rocky Mountain Journal of Mathematics

##### Publisher Name

Rocky Mountain Mathematics

##### Print ISSN

357596

##### Online ISSN

google scholar link

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