Fractional Trigonometric Korovkin Theory in Statistical Sense

Anastassiou, George A., and Duman, Oktay. "Fractional Trigonometric Korovkin Theory in Statistical Sense." Serdica Mathematical Journal 35.2 (2010): 121-136. <http://eudml.org/doc/281389>.

@article{Anastassiou2010,
abstract = {2000 Mathematics Subject Classification: 41A25, 41A36.In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the 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 = {Trigonometric Korovkin Theorem; Statistical Convergence; Fractional Calculus; Caputo Fractional Derivatives; trigonometric Korovkin theorem; statistical convergence; fractional calculus; Caputo fractional derivatives},
language = {eng},
number = {2},
pages = {121-136},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Fractional Trigonometric Korovkin Theory in Statistical Sense},
url = {http://eudml.org/doc/281389},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Anastassiou, George A.
AU - Duman, Oktay
TI - Fractional Trigonometric Korovkin Theory in Statistical Sense
JO - Serdica Mathematical Journal
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 35
IS - 2
SP - 121
EP - 136
AB - 2000 Mathematics Subject Classification: 41A25, 41A36.In the present paper, we improve the classical trigonometric Korovkin theory by using the concept of statistical convergence from the summability theory and also by considering the fractional derivatives of functions. We also show that our new results are more applicable than the classical ones.
LA - eng
KW - Trigonometric Korovkin Theorem; Statistical Convergence; Fractional Calculus; Caputo Fractional Derivatives; trigonometric Korovkin theorem; statistical convergence; fractional calculus; Caputo fractional derivatives
UR - http://eudml.org/doc/281389
ER -