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Approximation by the q‐Szász‐Mirakjan Operators

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  • N. I. Mahmudov

Abstract

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.

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  • N. I. Mahmudov, 2012. "Approximation by the q‐Szász‐Mirakjan Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:754217
    DOI: 10.1155/2012/754217
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