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Some approximation properties of a kind of (p, q)-Phillips operators

Authors :
Yong-Mo Hu
Wen-Tao Cheng
Chun-Yan Gui
Source :
Mathematica Slovaca. 69:1381-1394
Publication Year :
2019
Publisher :
Walter de Gruyter GmbH, 2019.

Abstract

In this paper, a kind of new analogue of Phillips operators based on (p,q)-integers is introduced. The moments of the operators are established. Then some local approximation for the above operators is discussed. Also, the rate of convergence and weighted approximation by these operators by means of modulus of continuity are studied. Furthermore, the Voronovskaja type asymptotic formula is investigated.

Details

ISSN :
13372211 and 01399918
Volume :
69
Database :
OpenAIRE
Journal :
Mathematica Slovaca
Accession number :
edsair.doi...........1dcea7722925b134859b66cdbbe921da