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
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