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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Vydáno v:	Mathematical and computer modelling Ročník 52; číslo 9; s. 1858 - 1866
Hlavní autoři:	Demirci, Kamil, Dirik, Fadime
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Kidlington Elsevier Ltd 01.11.2010 Elsevier
Témata:	[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
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