A note on the modified q-Bernstein polynomials for functions of several variables and their reflections on q-Volkenborn integration
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摘要
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.
论文关键词：Generating function,Bernstein polynomials of several variables,Bernstein operator of several variables,Shift difference operator,Q-difference operator,q-Stirling numbers,q-Volkenborn integration,Hermite polynomials,Carlitz’s type q-Bernoulli numbers
论文评审过程：Available online 5 February 2011.
论文官网地址：https://doi.org/10.1016/j.amc.2011.01.091
