# Fractional Trigonometric Korovkin Theory in Statistical Sense

Anastassiou, George A.; Duman, Oktay

Serdica Mathematical Journal (2010)

- Volume: 35, Issue: 2, page 121-136
- ISSN: 1310-6600

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topAnastassiou, 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 -

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