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On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials

Author

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  • Sezgin Sucu
  • Gürhan İçöz
  • Serhan Varma

Abstract

This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials. We establish a convergence theorem for these operators and give the quantitative estimation of the approximation process by using a classical approach and the second modulus of continuity. Some explicit examples of our operators involving Laguerre polynomials, Charlier polynomials, and Gould-Hopper polynomials are given. Moreover, a Voronovskaya-type result is obtained for the operators containing Gould-Hopper polynomials.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:680340
    DOI: 10.1155/2012/680340
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    Cited by:

    1. Sezgin Sucu & Serhan Varma, 2019. "Approximation by Sequence of Operators Involving Analytic Functions," Mathematics, MDPI, vol. 7(2), pages 1-10, February.

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