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From Uniform to Statistical Convergence of Binomial-Type Operators

In: Advances in Summability and Approximation Theory

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  • Octavian Agratini

    (Babeş-Bolyai University, Faculty of Mathematics and Computer Science
    Romanian Academy, Tiberiu Popoviciu Institute of Numerical Analysis)

Abstract

Sequences of binomial operators introduced by using umbral calculus are investigated from the point of view of statistical convergence. This approach is based on a detailed presentation of delta operators and their associated basic polynomials. Bernstein–Sheffer linear positive operators are analyzed, and some particular cases are highlighted: Cheney–Sharma operators, Stancu operators, Lupaş operators.

Suggested Citation

  • Octavian Agratini, 2018. "From Uniform to Statistical Convergence of Binomial-Type Operators," Springer Books, in: S. A. Mohiuddine & Tuncer Acar (ed.), Advances in Summability and Approximation Theory, pages 169-179, Springer.
    • Handle: RePEc:spr:sprchp:978-981-13-3077-3_10
    DOI: 10.1007/978-981-13-3077-3_10
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