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

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  • Qiu Lin

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, 2024. "Approximation by q‐Post‐Widder Operators Based on a New Parameter," Abstract and Applied Analysis, John Wiley & Sons, vol. 2024(1).
    • Handle: RePEc:wly:jnlaaa:v:2024:y:2024:i:1:n:4468538
    DOI: 10.1155/2024/4468538
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    References listed on IDEAS

    as
    1. Ali Aral & Vijay Gupta & Ravi P Agarwal, 2013. "Applications of q-Calculus in Operator Theory," Springer Books, Springer, edition 127, number 978-1-4614-6946-9, March.
    2. Vijay Gupta & Ravi P. Agarwal, 2014. "Convergence Estimates in Approximation Theory," Springer Books, Springer, edition 127, number 978-3-319-02765-4, March.
    3. Vijay Gupta & Themistocles M. Rassias & P. N. Agrawal & Ana Maria Acu, 2018. "Recent Advances in Constructive Approximation Theory," Springer Optimization and Its Applications, Springer, number 978-3-319-92165-5, January.
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