Asymptotic Formulas for Generalized Szász–Mirakyan Operators
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摘要
In the present paper, we consider the general Szász–Mirakyan operators and investigate their asymptotic behaviours. We obtain quantitative Voronovskaya and quantitative Grüss type Voronovskaya theorems using the weighted modulus of continuity. The particular cases are presented for classical Szász–Mirakyan operators.
论文关键词：Szász–Mirakyan operators,Quantitative Voronovskaya theorem,Grüss–Voronovskaya-type theorem,Weighted modulus of continuity
论文评审过程：Received 7 February 2015, Revised 31 March 2015, Accepted 16 April 2015, Available online 21 May 2015, Version of Record 21 May 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.04.060
