On Approximation Properties Of Baskakov–Szász–Stancu Operators Using Hypergeometric Representation

Creator

Vishnu Narayan Mishra, S. V. National Institute of Technology
Ram N. Mohapatra, University of Central Florida
Preeti Sharma, S. V. National Institute of Technology

Keywords

Baskakov–Szász–Stancu operator; Degree of approximation; Hypergeometric series; Modulus of continuity; Simultaneous approximation

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.

Publication Date

2-1-2017

Publication Title

Applied Mathematics and Computation

Volume

294

Number of Pages

77-86

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.amc.2016.08.049

Copyright Status

Unknown

Socpus ID

84988799959 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84988799959

STARS Citation

Mishra, Vishnu Narayan; Mohapatra, Ram N.; and Sharma, Preeti, "On Approximation Properties Of Baskakov–Szász–Stancu Operators Using Hypergeometric Representation" (2017). Scopus Export 2015-2019. 6202.
https://stars.library.ucf.edu/scopus2015/6202