Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators

Md. Nasiruzzaman, Rubayyi T. Alqahtani and S. A. Mohiuddine

Journal of Mathematics, 2025, vol. 2025, 1-17

Abstract: We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation results of these operators are studied. We also analyze the rate of convergence by utilizing Lipschitz-type maximal functions and the ordinary modulus of continuity. Moreover, using aforesaid operators, we finally examine the Voronovskaya-type theorem.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6680828

DOI: 10.1155/jom/6680828

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