Approximation of analytic functions in annulus by linear operators

Akif D. Gadjiev and Rashid A. Aliev

Applied Mathematics and Computation, 2015, vol. 252, issue C, 438-445

Abstract: We consider the space of analytic functions in annulus with the topology of compact convergence, find criterion for convergence of sequences in this space and prove the theorems on the approximation and statistical approximation of functions in this space by the sequences of linear and, in particular, linear k-positive operators.

Keywords: Space of analytical functions; Korovkin-type theorem; Linear k-positive operators; Statistical convergence (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:252:y:2015:i:c:p:438-445

DOI: 10.1016/j.amc.2014.12.025

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