Generalization of Szász operators involving multiple Sheffer polynomials

Mahvish Ali*, Richard B. Paris

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    The present work deals with the mathematical investigation of some generalizations of the Szász operators. In this work, the multiple Sheffer polynomials are introduced. The generalization of Szász operators involving multiple Sheffer polynomials are considered. Convergence properties of these operators are verified with the help of the universal Korovkin-type result and the order of approximation is calculated by using classical modulus of continuity. Further, the convergence of these operators are also discussed in weighted spaces of functions on the positive semi-axis and estimate the approximation with the help of weighted modulus of continuity. The theoretical results are exemplified choosing the special cases of multiple Sheffer polynomials.
    Original languageEnglish
    Number of pages19
    JournalJournal of Analysis
    Early online date26 May 2022
    DOIs
    Publication statusE-pub ahead of print - 26 May 2022

    Keywords

    • Szász operators
    • Modulus of continuity
    • Rate of convergence
    • Multiple Sheffer polynomials

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