Approximation by Chlodowsky-Type of Sz\'asz Operators including the Appell Polynomials of Class $\mathbb{A}^{(2)}$
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Authors: K. KANAT, M. S. AKSOY AND H. ALTUNTAş
DOI: 10.46793/KgJMat2605.725K
Abstract:
A Chlodowsky variation of generalized Szász type operators and a novel sequence of operators, containing the Appell polynomials of class ????(2), are the subjects of this study. Approximation properties and convergence results are given by using different types of modulus of continuity with the help of Steklov function. A weighted space of functions constructed on [0,+∞) is used to study the convergence features of these operators. Theoretical conclusions are demonstrated by using the Gould-Hopper and Hermite polynomials.
Keywords:
Appell polynomials, weighted space, rate of convergence, Voronovskaya-type theorem.
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