Approximation by the q‐Szász‐Mirakjan Operators
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This paper deals with approximating properties of the q‐generalization of the Szász‐Mirakjan operators in the case q > 1. Quantitative estimates of the convergence in the polynomial‐weighted spaces and the Voronovskaja′s theorem are given. In particular, it is proved that the rate of approximation by the q‐Szász‐Mirakjan operators (q > 1 ) is of order q−n versus 1/n for the classical Szász‐Mirakjan operators.
Uniform Approximation, Theorems, QA1-939, Approximation by positive operators, polynomial-weighted spaces, Statistical Approximation, Voronovskaja's theorem, Q-Analog, Baskakov, Meyer-Konig, Mathematics
Uniform Approximation, Theorems, QA1-939, Approximation by positive operators, polynomial-weighted spaces, Statistical Approximation, Voronovskaja's theorem, Q-Analog, Baskakov, Meyer-Konig, Mathematics
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