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A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration
Journal article   Peer reviewed

A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration

Mehmet Acikgoz, Serkan Araci and Ismail Naci Cangul
Applied mathematics and computation, Vol.218(3), pp.707-712
01/10/2011
DOI: https://doi.org/10.1016/j.amc.2011.01.091

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider the modified q-Bernstein polynomials for functions of several variables on q-Volkenborn integral and investigate some new interesting properties of these polynomials related to q-Stirling numbers, Hermite polynomials and Carlitz's type q-Bernoulli numbers. (C) 2011 Elsevier Inc. All rights reserved.

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