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Generalization of Jakimovski−Leviatan type Szasz operators

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  • Sucu, Sezgin
  • Varma, Serhan

Abstract

The purpose of this paper is to give a Stancu type generalization of Jakimovski–Leviatan type Szasz operators defined by means of the Sheffer polynomials. We obtain convergence properties of our operators with the help of Korovkin theorem and the order of approximation by using classical and second modulus of continuity. Explicit examples with our operators including Meixner polynomials and the 2-orthogonal polynomials of Laguerre type are given. We present two significant numerical mathematical algorithms as examples for the error estimation.

Suggested Citation

  • Sucu, Sezgin & Varma, Serhan, 2015. "Generalization of Jakimovski−Leviatan type Szasz operators," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 977-983.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:977-983
    DOI: 10.1016/j.amc.2015.08.077
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    Cited by:

    1. 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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