From uniform to statistical convergence of binomial-type operators

Octavian Agratini
(proceedings), Approximation Theory, paper

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.

Authors

O. Agratini
(Babes-Bolyai University, Cluj-Napoca
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

Keywords

Statistical convergence; Binomial sequence; Linear positive operator; Umbral calculus Bernstein–Sheffer operator; Pincherle derivative 

References

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Paper coordinates

O. Agratini, From uniform to statistical convergence of binomial-type operators, In: Advances In Summability And Approximation Theory, 169 – 179, (Eds. S. A. Mohiuddine, T. Acar), Springer, Singapore, 2018. ISBN: 978-981-13-3076-6, DOI https://doi.org/10.1007/978-981-13-3077-3_10

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Springer

DOI

doi.org/10.1007/978-981-13-3077-3_10

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2018

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