Approximation properties of Bezier-summation-integral type operators based on Polya–Bernstein functions

P.N. Agrawal, Nurhayat Ispir and Arun Kajla

Applied Mathematics and Computation, 2015, vol. 259, issue C, 533-539

Abstract: In this article we introduce the Bezier variant of summation integral type operators having Polya and Bernstein basis functions. We give a direct approximation theorem by means of the first order modulus of smoothness and the rate of convergence for absolutely continuous functions having a derivative equivalent to a function of bounded variation.

Keywords: Bezier operators; Summation integral type operators; Polya distribution; Rate of convergence; Bounded variation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:533-539

DOI: 10.1016/j.amc.2015.03.014

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