Higher order limit q-Bernstein operators

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Wiley-Blackwell

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info:eu-repo/semantics/closedAccess

Abstract

In this paper we give the estimates of the central moments for the limit q-Bernstein operators. We introduce the higher order generalization of the limit q-Bernstein operators and using the moment estimations study the approximation properties of these newly defined operators. It is shown that the higher order limit q-Bernstein operators faster than the q-Bernstein operators for the smooth functions defined on [0,1]. Copyright (C) 2011 John Wiley & Sons, Ltd.

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q-Bernstein polynomials, limit q-Bernstein operator, higher order limit q-Bernstein operator, positive linear operator, central moment, q-derivative

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Mathematical Methods in the Applied Sciences

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34

Issue

13

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