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

Vishnu Narayan Mishra, Ram N. Mohapatra and Preeti Sharma

Applied Mathematics and Computation, 2017, vol. 294, issue C, 77-86

Abstract: 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.

Keywords: Hypergeometric series; Baskakov–Szász–Stancu operator; Modulus of continuity; Simultaneous approximation; Degree of approximation (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:294:y:2017:i:c:p:77-86

DOI: 10.1016/j.amc.2016.08.049

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