On a class of Szász-Mirakyan type operators

Zbigniew Walczak

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 3, page 705-716
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Walczak, Zbigniew. "On a class of Szász-Mirakyan type operators." Czechoslovak Mathematical Journal 58.3 (2008): 705-716. <http://eudml.org/doc/37862>.

@article{Walczak2008,
abstract = {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.},
author = {Walczak, Zbigniew},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear positive operator; polynomial weighted space; linear positive operator; polynomial weighted space},
language = {eng},
number = {3},
pages = {705-716},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a class of Szász-Mirakyan type operators},
url = {http://eudml.org/doc/37862},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Walczak, Zbigniew
TI - On a class of Szász-Mirakyan type operators
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 3
SP - 705
EP - 716
AB - 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.
LA - eng
KW - linear positive operator; polynomial weighted space; linear positive operator; polynomial weighted space
UR - http://eudml.org/doc/37862
ER -

References

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