Chinese Quarterly Journal of Mathematics >

2016 , Vol. 31 >Issue 3: 269 - 278

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.03.005

Approximation by the q-Baskakov-Schurer-Szász-Beta Operators

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  • Institute of Mathematics,Hangzhou Dianzi University
WU Hua-ting(1992-), female, native of Puyang, Henan, a postgraduate student of Hangzhou Dianzi University, M.S.D., engages in operators of approximation theory.

Received date: 2015-12-25

  Online published: 2020-11-04

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Abstract

In this paper we introduce a new kind of Baskakov-Schurer-Szász-Beta operators Mn,pq based on q-integers.We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0,∞].Then we obtain the estimates on the rate of convergence and weighted approximation of operators Mqn,pin terms of modulus of continuity. 

Key words： q-Baskakov-Schurer-Szász-Beta operators; rate of convergence; q-analogues; modulus of continuity; weighted approximation

Cite this article

WU Hua-ting, HU Xiao-min, LIU Rui-rui . Approximation by the q-Baskakov-Schurer-Szász-Beta Operators[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(3) : 269 -278 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.03.005

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