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Asymptotic Formulas for Generalized Szász–Mirakyan Operators

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  • Acar, Tuncer

Abstract

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.

Suggested Citation

  • Acar, Tuncer, 2015. "Asymptotic Formulas for Generalized Szász–Mirakyan Operators," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 233-239.
    • Handle: RePEc:eee:apmaco:v:263:y:2015:i:c:p:233-239
    DOI: 10.1016/j.amc.2015.04.060
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    Cited by:

    1. Gupta, Vijay & Acu, Ana Maria & Sofonea, Daniel Florin, 2017. "Approximation of Baskakov type Pólya–Durrmeyer operators," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 318-331.
    2. Dhruv Bhatnagar, 2022. "Quantitative Theorems for a Rich Class of Novel Miheşan-type Approximation Operators Incorporating the Boas-Buck Polynomials," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(4), pages 1017-1035, December.

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