On a class of Szász-Mirakyan type operators
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 705-716
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The actual construction of the Szász-Mirakyan operators and its various modifications require estimations of infinite series which in a certain sense restrict their usefulness from the computational point of view. Thus the question arises whether the Szász-Mirakyan operators and their generalizations cannot be replaced by a finite sum. In connection with this question we propose a new family of linear positive operators.
@article{CMJ_2008__58_3_a8,
author = {Walczak, Zbigniew},
title = {On a class of {Sz\'asz-Mirakyan} type operators},
journal = {Czechoslovak Mathematical Journal},
pages = {705--716},
publisher = {mathdoc},
volume = {58},
number = {3},
year = {2008},
mrnumber = {2455932},
zbl = {1174.41023},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2008__58_3_a8/}
}
Walczak, Zbigniew. On a class of Szász-Mirakyan type operators. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 705-716. http://geodesic.mathdoc.fr/item/CMJ_2008__58_3_a8/