On approximation properties of Baskakov–Szász–Stancu operators using hypergeometric representation

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摘要

In the present paper, we study the mixed summation integral type operators having Baskakov and Szász basis functions in summation and integration form, respectively. We also give here the alternate form of the operators in terms of hypergeometric functions and estimated moments of these operators using hypergeometric series. In the last section, we present some results for operators related to convergence.

论文关键词:Hypergeometric series,Baskakov–Szász–Stancu operator,Modulus of continuity,Simultaneous approximation,Degree of approximation

论文评审过程:Received 21 August 2015, Revised 7 February 2016, Accepted 22 August 2016, Available online 28 September 2016, Version of Record 28 September 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.08.049