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

MO Qing-feng, HU Xiao-min, WU Peng

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

Chinese Quarterly Journal of Mathematics >

2015 , Vol. 30 >Issue 4: 587 - 595

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.04.012

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

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Institute of Mathematics, Hangzhou Dianzi University

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.

Received date: 2014-03-11

Online published: 2020-11-19

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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

Cite this article

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

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