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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-1-1,
author = {O. Duman and M. A. \"Ozarslan and O. Do\u gru},
title = {On integral type generalizations of positive linear operators},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {1-12},
zbl = {1098.41018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-1-1}
}
O. Duman; M. A. Özarslan; O. Doğru. On integral type generalizations of positive linear operators. Studia Mathematica, Tome 173 (2006) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-1-1/