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A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials

Author

Listed:
  • Fatma Taşdelen
  • Rabia Aktaş
  • Abdullah Altın

Abstract

We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem. We also present the order of convergence with the help of a classical approach, the second modulus of continuity, and Peetre's -functional. Furthermore, an example of Kantorovich type of the operators including Gould-Hopper polynomials is presented and Voronovskaya-type result is given for these operators including Gould-Hopper polynomials.

Suggested Citation

  • Fatma Taşdelen & Rabia Aktaş & Abdullah Altın, 2012. "A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, December.
    • Handle: RePEc:hin:jnlaaa:867203
    DOI: 10.1155/2012/867203
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    Cited by:

    1. Bayram Çekim & Rabia Aktaş & Fatma Taşdelen, 2022. "A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(3), pages 727-735, September.

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