Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (4): 587-595.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.012

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

  

  1. 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.

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

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