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Approximation by q-Post-Widder Operators Based on a New Parameter

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  • Qiu Lin
  • Rosanna Manzo

Abstract

The purpose of this paper is to introduce q-Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K-functional are presented. Furthermore, the rate of convergence for these operators is obtained. Weighted approximation and the quantitative q-Voronovskaja type theorem are discussed. Finally, numerical illustrative examples have been given to show the convergence of these newly defined operators.

Suggested Citation

  • Qiu Lin & Rosanna Manzo, 2024. "Approximation by q-Post-Widder Operators Based on a New Parameter," Abstract and Applied Analysis, Hindawi, vol. 2024, pages 1-14, July.
    • Handle: RePEc:hin:jnlaaa:4468538
    DOI: 10.1155/2024/4468538
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