Some summability methods for Dunkl–Gamma‐type operators including Appell polynomials

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 new defined operators. In second section are given some direct estimation related to the Dunkl–Gamma‐type operators, 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 ‐statistically convergence, including Voronovskaya and Grüss–Voronovskaya‐type theorem.