Singular Approximation In Polydiscs By Summability Process

Keywords

Approximation in the polydisc; Complex Picard singular operators; Regular summability process

Abstract

In this paper, we approximate a continuous function in a polydisc by means of multivariate complex singular operators which preserve the analytic functions. In this singular approximation, we mainly use a regular summability method (process) from the summability theory. We show that our results are non-trivial generalizations of the classical approximations. At the end, we display an application verifying the singular approximation via summation process, but not the usual sense.

Publication Date

9-1-2016

Publication Title

Positivity

Volume

20

Issue

3

Number of Pages

663-676

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11117-015-0379-8

Socpus ID

84945156798 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84945156798

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