Weighted statistical approximation by kantorovich type q-Szász–Mirakjan operators

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摘要

In the present paper, we introduce a Kantorovich type modification of q-Szász–Mirakjan operators and obtain weighted statistical approximation properties of these operators. Also for introduced operators, we give a Voronovskaja type theorem related to q-derivatives.

论文关键词:q-Szász–Mirakjan operators,Weighted Korovkin type theorem,Voronovskaja type asymptotic formulas,Kantorovich type operators

论文评审过程:Available online 8 March 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.03.009