On approximation properties of Baskakov-Szasz-Stancu operators using hypergeometric representation

被引：3

作者：

Mishra, Vishnu Narayan ^{[1
,2
]}

Mohapatra, Ramn. ^{[3
]}

Sharma, Preeti ^{[1
,2
]}

机构：

[1] Sardar Vallabhbhai Natl Inst Technol, Appl Math & Humanities Dept, Ichchhanath Mahadev Dumas Rd, Surat 395007, Gujarat, India

[2] Opposite Ind Training Inst ITI, L 1627 Awadh Puri Colony Beniganj,Phase 3, Faizabad 224001, Uttar Pradesh, India

[3] Univ Cent Florida, Orlando, FL 32816 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 294卷

关键词：

Hypergeometric series; Baskakov-Szasz-Stancu operator; Modulus of continuity; Simultaneous approximation; Degree of approximation;

D O I：

10.1016/j.amc.2016.08.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study the mixed summation integral type operators having Baskakov and Szasz 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. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：77 / 86

页数：10