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

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  • Md. Nasiruzzaman
  • Rubayyi T. Alqahtani
  • S. A. Mohiuddine

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.

Suggested Citation

  • Md. Nasiruzzaman & Rubayyi T. Alqahtani & S. A. Mohiuddine, 2025. "Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators," Journal of Mathematics, Hindawi, vol. 2025, pages 1-17, July.
    • Handle: RePEc:hin:jjmath:6680828
    DOI: 10.1155/jom/6680828
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