Generalized p,q-Gamma-type operators-Reference-Cited by-同舟云学术

Generalized p,q-Gamma-type operators

Published:2020-07-11 Issue: Volume:2020 Page:1-10
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Cheng Wen-Tao¹^ORCID,Cai Qing-Bo²^ORCID

Affiliation:

1. School of Mathematics and Physics, Anqing Normal University, Anhui 246133, China

2. School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China

Abstract

In the present paper, the generalized p,q-gamma-type operators based on p,q-calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K-functional. Also, the rate of convergence, weighted approximation, and pointwise estimates of these operators are studied. Finally, a Voronovskaja-type theorem is presented.

Funder

Natural Science Foundation of Anhui Province

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/8978121.pdf

Reference40 articles.

1. Rate of convergence of new Gamma type operators for functions with derivatives of bounded variation

2. On convergence of general Gamma type operators

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