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Approximation by the -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 . 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 ( ) is of order versus 1/ n for the classical Szász-Mirakjan operators.

Suggested Citation

  • N. I. Mahmudov, 2012. "Approximation by the -Szász-Mirakjan Operators," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, December.
    • Handle: RePEc:hin:jnlaaa:754217
    DOI: 10.1155/2012/754217
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    Cited by:

    1. Ahasan, Mohd. & Mursaleen, M., 2020. "Generalized Szász-Mirakjan type operators via q-calculus and approximation properties," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    2. Mohd Qasim & M. Mursaleen & Asif Khan & Zaheer Abbas, 2020. "Approximation by Generalized Lupaş Operators Based on q -Integers," Mathematics, MDPI, vol. 8(1), pages 1-15, January.

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