A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials

Fatma Taşdelen, Rabia Aktaş and Abdullah Altın

Abstract and Applied Analysis, 2012, vol. 2012, 1-13

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:867203

DOI: 10.1155/2012/867203

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