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Generalized Power Summability Methods for Dunkl-gamma Type Operators Including Appell Polynomials and Their Applications
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Abstract
In this paper we give some properties of the Dunkl-Gamma type operators including Appell polynomials, using into consideration the generalized power summability method. In the first section are given moments of the operators including Appell Polynomials. In second section are given some direct estimation related to the Dunkl-Gamma type operators including Appell Polynomials, including Korovkin type theorem. In the third section, we give some results related to the weighted spaces of continuous functions, and in the last section we give some properties in the sense of $A-$ statistically convergence, including Voronovskaya and Gr\"uss-Voronovskaya type theorem.
Title: Generalized Power Summability Methods for Dunkl-gamma Type Operators Including Appell Polynomials and Their Applications
Description:
Abstract
In this paper we give some properties of the Dunkl-Gamma type operators including Appell polynomials, using into consideration the generalized power summability method.
In the first section are given moments of the operators including Appell Polynomials.
In second section are given some direct estimation related to the Dunkl-Gamma type operators including Appell Polynomials, including Korovkin type theorem.
In the third section, we give some results related to the weighted spaces of continuous functions, and in the last section we give some properties in the sense of $A-$ statistically convergence, including Voronovskaya and Gr\"uss-Voronovskaya type theorem.
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