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.
Citation
Fatma Taşdelen. Rabia Aktaş. Abdullah Altın. "A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials." Abstr. Appl. Anal. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/867203
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