Four-dimensional matrix transformation and rate of A -statistical convergence of periodic functions

In this paper, using the concept of A -statistical convergence for double real sequences, we obtain a Korovkin type-approximation theorem for double sequences of positive linear operators defined on the space of all 2 π -periodic and real valued continuous functions on the real two-dimensional space...

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Bibliographic Details
Published in:	Mathematical and computer modelling Vol. 52; no. 9; pp. 1858 - 1866
Main Authors:	Demirci, Kamil, Dirik, Fadime
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier Ltd 01.11.2010 Elsevier
Subjects:	[formula omitted]-periodic and real valued continuous functions Acceleration of convergence Exact sciences and technology Functional analysis Mathematical analysis Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Numerical analysis Numerical analysis. Scientific computation Operator theory Rates of [formula omitted]-statistical convergence for double sequences Regularity for double sequences Sciences and techniques of general use The Korovkin type-approximation theorem 2 π -periodic and real valued continuous functions Rates of A -statistical convergence for double sequences The Korovkin type-approximation theorem Regularity for double sequences Two dimensional space 2π-periodic and real valued continuous functions Approximation Convergence acceleration Periodic function Continuous function Linear operator Convergence Numerical analysis Real sequence Real function Applied mathematics Convergence rate Rates ofA-statistical convergence for double sequences Approximation theory Mathematical model Computer aided analysis Positive operator
ISSN:	0895-7177, 1872-9479
Online Access:	Get full text
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