From Uniform to Statistical Convergence of Binomial-Type Operators

Octavian Agratini ()
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Octavian Agratini: Babeş-Bolyai University, Faculty of Mathematics and Computer Science

A chapter in Advances in Summability and Approximation Theory, 2018, pp 169-179 from Springer

Abstract: 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.

Keywords: Statistical convergence; Binomial sequence; Linear positive operator; Umbral calculus; Bernstein–Sheffer operator; Pincherle derivative; 05A40; 41A36; 47A58 (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-3077-3_10

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DOI: 10.1007/978-981-13-3077-3_10

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