一类q-Sz\acute{a}sz-Mirakyan-Baskakov算子的逼近性质

doi:10.13371/j.cnki.chin.q.j.m.2015.04.012

数学季刊 ›› 2015, Vol. 30 ›› Issue (4): 587-595.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.012

一类q-Sz\acute{a}sz-Mirakyan-Baskakov算子的逼近性质

Institute of Mathematics, Hangzhou Dianzi University

收稿日期:2014-03-11 出版日期:2015-12-30 发布日期:2020-11-19
作者简介:MO Qing-feng(1989-), male, native of Guilin, Guangxi, a postgraduate student of Hangzhou Dianzi University, M.S.D., engages in operators of approximation theory.

Some Approximation Properties of Certain q-Sz\acute{a}sz-Mirakyan-Baskakov Operators

Institute of Mathematics, Hangzhou Dianzi University

Received:2014-03-11 Online:2015-12-30 Published:2020-11-19
About author:MO Qing-feng(1989-), male, native of Guilin, Guangxi, a postgraduate student of Hangzhou Dianzi University, M.S.D., engages in operators of approximation theory.

摘要/Abstract

摘要： In this paper we propose the q analogues of modified Baskakov-Sz′asz operators.we estimate the moments and establish the direct results in term of modulus of continuity.An estimate for the rate of convergence and weighted approximation properties of the q operators are also obtained.

关键词: q-Sz\acute{a}sz-Mirakyan-Baskakov operators, q-analogues, modulus of continuity, weighted approximation

Abstract: In this paper we propose the q analogues of modified Baskakov-Sz′asz operators.we estimate the moments and establish the direct results in term of modulus of continuity.An estimate for the rate of convergence and weighted approximation properties of the q operators are also obtained.

Key words: q-Sz\acute{a}sz-Mirakyan-Baskakov operators, q-analogues, modulus of continuity; weighted approximation

中图分类号:

O177

莫庆峰, 胡晓敏, 吴鹏. 一类q-Sz\acute{a}sz-Mirakyan-Baskakov算子的逼近性质[J]. 数学季刊, 2015, 30(4): 587-595.

MO Qing-feng, HU Xiao-min, WU Peng. Some Approximation Properties of Certain q-Sz\acute{a}sz-Mirakyan-Baskakov Operators[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(4): 587-595.

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一类q-Sz\acute{a}sz-Mirakyan-Baskakov算子的逼近性质

Some Approximation Properties of Certain q-Sz\acute{a}sz-Mirakyan-Baskakov Operators

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