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

Sezgin Sucu, Gürhan İçöz and Serhan Varma

Abstract and Applied Analysis, 2012, vol. 2012, 1-15

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:680340

DOI: 10.1155/2012/680340

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