Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 151-157
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K. Demirci; S. Karakuş; K. Demirci; S. Karakuş. A-Statistical Korovkin type approximation theorem for function of two variables on an infinite interval. Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 151-157. http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a1/
@article{AMUC_2012_81_2_a1,
author = {K. Demirci and S. Karaku\c{s} and K. Demirci and S. Karaku\c{s}},
title = { A-Statistical {Korovkin} type approximation theorem for function of two variables on an infinite interval},
journal = {Acta mathematica Universitatis Comenianae},
pages = {151--157},
year = {2012},
volume = {81},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a1/}
}
TY - JOUR
AU - K. Demirci
AU - S. Karakuş
AU - K. Demirci
AU - S. Karakuş
TI - A-Statistical Korovkin type approximation theorem for function of two variables on an infinite interval
JO - Acta mathematica Universitatis Comenianae
PY - 2012
SP - 151
EP - 157
VL - 81
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a1/
ID - AMUC_2012_81_2_a1
ER -
%0 Journal Article
%A K. Demirci
%A S. Karakuş
%A K. Demirci
%A S. Karakuş
%T A-Statistical Korovkin type approximation theorem for function of two variables on an infinite interval
%J Acta mathematica Universitatis Comenianae
%D 2012
%P 151-157
%V 81
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a1/
%F AMUC_2012_81_2_a1
In this paper, using the concept of A-statistical convergence for double sequences, we provide a Korovkin-type approximation theorem for positive linear operators on the space of all real-valued uniform continuous functions on [ 0, ¥) ́ [ 0, ¥) with the property that have a finite limit at the infinity. Then, we display an application which shows that our new result is stronger than its classical version.
