# Approximation theorems by positive linear operators in weighted spaces

Approximation theorems by positive linear operators in weighted spaces In this study, we obtain some Korovkin type approximation theorems by positive linear operators on the weighted space of all real valued functions defined on the real two-dimensional Euclidean space $${\mathbb{R}^2}$$ . This paper is mainly consisted of two parts: a Korovkin type approximation theorem via the concept of A-statistical convergence and a Korovkin type approximation theorem via $${\mathcal {A}}$$ -summability. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# Approximation theorems by positive linear operators in weighted spaces

, Volume 15 (1) – Jan 12, 2010
17 pages

/lp/springer_journal/approximation-theorems-by-positive-linear-operators-in-weighted-spaces-8fewWHpGGm
Publisher
SP Birkhäuser Verlag Basel
Subject
Mathematics; Econometrics; Operator Theory; Calculus of Variations and Optimal Control; Optimization; Fourier Analysis; Potential Theory
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-009-0043-2
Publisher site
See Article on Publisher Site

### Abstract

In this study, we obtain some Korovkin type approximation theorems by positive linear operators on the weighted space of all real valued functions defined on the real two-dimensional Euclidean space $${\mathbb{R}^2}$$ . This paper is mainly consisted of two parts: a Korovkin type approximation theorem via the concept of A-statistical convergence and a Korovkin type approximation theorem via $${\mathcal {A}}$$ -summability.

### Journal

PositivitySpringer Journals

Published: Jan 12, 2010

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