Statistical approximation in multivariate modular function spaces

Cemal Belen, and Mustafa Yildirim. "Statistical approximation in multivariate modular function spaces." Commentationes Mathematicae 51.1 (2011): null. <http://eudml.org/doc/292317>.

@article{CemalBelen2011,
abstract = {In this paper, using the concept of A-statistical convergence we prove a Korovkin type approximation theorem in multivariate modular function spaces. Furthermore, giving an example via bivariate operators of Kantorovich type, it is shown that our theorem is stronger than its classical case.},
author = {Cemal Belen, Mustafa Yildirim},
journal = {Commentationes Mathematicae},
keywords = {Statistical Convergence; Korovkin Theorem; Modular function space; Positive linear operators},
language = {eng},
number = {1},
pages = {null},
title = {Statistical approximation in multivariate modular function spaces},
url = {http://eudml.org/doc/292317},
volume = {51},
year = {2011},
}

TY - JOUR
AU - Cemal Belen
AU - Mustafa Yildirim
TI - Statistical approximation in multivariate modular function spaces
JO - Commentationes Mathematicae
PY - 2011
VL - 51
IS - 1
SP - null
AB - In this paper, using the concept of A-statistical convergence we prove a Korovkin type approximation theorem in multivariate modular function spaces. Furthermore, giving an example via bivariate operators of Kantorovich type, it is shown that our theorem is stronger than its classical case.
LA - eng
KW - Statistical Convergence; Korovkin Theorem; Modular function space; Positive linear operators
UR - http://eudml.org/doc/292317
ER -