数学季刊 ›› 2016, Vol. 31 ›› Issue (3): 269-278.doi: 10.13371/j.cnki.chin.q.j.m.2016.03.005

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q-Baskakov-Schurer-Szász-Beta算子的逼近

  

  1. Institute of Mathematics,Hangzhou Dianzi University
  • 收稿日期:2015-12-25 出版日期:2016-09-30 发布日期:2020-11-04
  • 作者简介: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.

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

  1. Institute of Mathematics,Hangzhou Dianzi University
  • Received:2015-12-25 Online:2016-09-30 Published:2020-11-04
  • About author: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.

摘要: 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. 

关键词: q-Baskakov-Schurer-Szász-Beta operators, rate of convergence, q-analogues, modulus of continuity, weighted approximation

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

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