Fractional Korovkin Theory Based on Statistical Convergence

Anastassiou, George A., and Duman, Oktay. "Fractional Korovkin Theory Based on Statistical Convergence." Serdica Mathematical Journal 35.4 (2009): 381-396. <http://eudml.org/doc/281371>.

@article{Anastassiou2009,
abstract = {2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions. We also show that our new results are more applicable than the classical ones.},
author = {Anastassiou, George A., Duman, Oktay},
journal = {Serdica Mathematical Journal},
keywords = {Korovkin Theorem; Statistical Convergence; Fractional Calculus; Caputo Fractional Derivatives; Korovkin theorem; statistical convergence; fractional calculus; Caputo fractional derivatives},
language = {eng},
number = {4},
pages = {381-396},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Fractional Korovkin Theory Based on Statistical Convergence},
url = {http://eudml.org/doc/281371},
volume = {35},
year = {2009},
}

TY - JOUR
AU - Anastassiou, George A.
AU - Duman, Oktay
TI - Fractional Korovkin Theory Based on Statistical Convergence
JO - Serdica Mathematical Journal
PY - 2009
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 35
IS - 4
SP - 381
EP - 396
AB - 2000 Mathematics Subject Classification: 41A25, 41A36, 40G15.In this paper, we obtain some statistical Korovkin-type approximation theorems including fractional derivatives of functions. We also show that our new results are more applicable than the classical ones.
LA - eng
KW - Korovkin Theorem; Statistical Convergence; Fractional Calculus; Caputo Fractional Derivatives; Korovkin theorem; statistical convergence; fractional calculus; Caputo fractional derivatives
UR - http://eudml.org/doc/281371
ER -