q-Szász–Mirakjan operators which preserve x2

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摘要

In the present paper we construct q-Szász–Mirakjan operators that preserve x2. The rate of global convergence is obtained in the frame of weighted spaces. Furthermore, we obtain a Voronovskaja type theorem for these operators.

论文关键词:q-Szász–Mirakjan operators,Korovkin type approximation theorem,Modulus of continuity,Voronovskaya type theorem

论文评审过程:Received 9 January 2010, Revised 15 March 2010, Available online 22 April 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.03.031