A Korovkin type approximation theorems via ℐ -convergence

Oktay Duman

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 1, page 367-375
  • ISSN: 0011-4642

Abstract

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Using the concept of ℐ -convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.

How to cite

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Duman, Oktay. "A Korovkin type approximation theorems via $\mathcal {I}$-convergence." Czechoslovak Mathematical Journal 57.1 (2007): 367-375. <http://eudml.org/doc/31134>.

@article{Duman2007,
abstract = {Using the concept of $\mathcal \{I\}$-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.},
author = {Duman, Oktay},
journal = {Czechoslovak Mathematical Journal},
keywords = {$\mathcal \{I\}$-convergence; positive linear operator; the classical Korovkin theorem; positive linear operator; the classical Korovkin theorem},
language = {eng},
number = {1},
pages = {367-375},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A Korovkin type approximation theorems via $\mathcal \{I\}$-convergence},
url = {http://eudml.org/doc/31134},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Duman, Oktay
TI - A Korovkin type approximation theorems via $\mathcal {I}$-convergence
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 367
EP - 375
AB - Using the concept of $\mathcal {I}$-convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.
LA - eng
KW - $\mathcal {I}$-convergence; positive linear operator; the classical Korovkin theorem; positive linear operator; the classical Korovkin theorem
UR - http://eudml.org/doc/31134
ER -

References

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