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Matrix Summability and Positive Linear Operators

Matrix Summability and Positive Linear Operators In the present paper we prove a Korovkin type approximation theorem for a sequence of positive linear operators acting from a weighted space C ρ1 into a weighted space B ρ2 with the use of a matrix summability method which includes both convergence and almost convergence. We also study the rates of convergence of these operators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Matrix Summability and Positive Linear Operators

Positivity , Volume 11 (3) – Jan 1, 2007

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Birkhäuser Verlag, Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
DOI
10.1007/s11117-007-2049-y
Publisher site
See Article on Publisher Site

Abstract

In the present paper we prove a Korovkin type approximation theorem for a sequence of positive linear operators acting from a weighted space C ρ1 into a weighted space B ρ2 with the use of a matrix summability method which includes both convergence and almost convergence. We also study the rates of convergence of these operators.

Journal

PositivitySpringer Journals

Published: Jan 1, 2007

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