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The Approximation Szász‐Chlodowsky Type Operators Involving Gould‐Hopper Type Polynomials

Author

Listed:
  • Behar Baxhaku
  • Artan Berisha

Abstract

We introduce the Szász and Chlodowsky operators based on Gould‐Hopper polynomials and study the statistical convergence of these operators in a weighted space of functions on a positive semiaxis. Further, a Voronovskaja type result is obtained for the operators containing Gould‐Hopper polynomials. Finally, some graphical examples for the convergence of this type of operator are given.

Suggested Citation

  • Behar Baxhaku & Artan Berisha, 2017. "The Approximation Szász‐Chlodowsky Type Operators Involving Gould‐Hopper Type Polynomials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnlaaa:v:2017:y:2017:i:1:n:4013958
    DOI: 10.1155/2017/4013958
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    References listed on IDEAS

    as
    1. Vijay Gupta & Ravi P. Agarwal, 2014. "Convergence Estimates in Approximation Theory," Springer Books, Springer, edition 127, number 978-3-319-02765-4, October.
    2. Fatma Taşdelen & Rabia Aktaş & Abdullah Altın, 2012. "A Kantorovich Type of Szasz Operators Including Brenke‐Type Polynomials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Sezgin Sucu & Gürhan İçöz & Serhan Varma, 2012. "On Some Extensions of Szasz Operators Including Boas‐Buck‐Type Polynomials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Sezgin Sucu & Gürhan İçöz & Serhan Varma, 2012. "On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, August.
    5. 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.
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