Convergence rate of a new Bezier variant of Chlodowsky operators to bounded variation functions

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摘要

In the present paper, we estimate the rate of pointwise convergence of the Bézier Variant of Chlodowsky operators Cn,α for functions, defined on the interval extending infinity, of bounded variation. To prove our main result, we have used some methods and techniques of probability theory.

论文关键词：41A25,41A35,41A36,Approximation,Bounded variation,Chlodowsky polynomials,Bezier basis,Total variation,Rate of convergence

论文评审过程：Received 21 July 2006, Revised 22 November 2006, Available online 30 December 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.12.020