On integral type generalizations of positive linear operators

@article{O2006,
abstract = {We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the rth order generalization of our operators.},
author = {O. Duman, M. A. Özarslan, O. Doğru},
journal = {Studia Mathematica},
keywords = {AQ-statistical convergence; Durrmeyer generalization; Kantorovich type generalization; Korovkin type theorem; modulus of continuity; Lipschitz class},
language = {eng},
number = {1},
pages = {1-12},
title = {On integral type generalizations of positive linear operators},
url = {http://eudml.org/doc/284685},
volume = {174},
year = {2006},
}

TY - JOUR
AU - O. Duman
AU - M. A. Özarslan
AU - O. Doğru
TI - On integral type generalizations of positive linear operators
JO - Studia Mathematica
PY - 2006
VL - 174
IS - 1
SP - 1
EP - 12
AB - We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the rth order generalization of our operators.
LA - eng
KW - AQ-statistical convergence; Durrmeyer generalization; Kantorovich type generalization; Korovkin type theorem; modulus of continuity; Lipschitz class
UR - http://eudml.org/doc/284685
ER -