On approximation process by certain modified Dunkl generalization of Szász-Beta type operators
Volume 19, Issue 1, pp 9--18
http://dx.doi.org/10.22436/jmcs.019.01.02
Publication Date: February 21, 2019
Submission Date: July 23, 2018
Revision Date: November 23, 2018
Accteptance Date: December 20, 2018
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Authors
Çiğdem Atakut
- Department of Mathematics, Faculty of Science, Ankara University, Ankara, Turkey.
Seda Karateke
- Department of Mathematics and Computer Science, Faculty of Science and Letters, Istanbul Arel University, Istanbul, Turkey.
Ibrahim Büyükyazıcı
- Department of Mathematics, Faculty of Science, Ankara University, Ankara, Turkey.
Abstract
In this paper, we give a generalization of the Szász-Beta type operators generated by Dunkl generalization of exponential
function and obtain convergence properties of these operators by using
Korovkin's theorem and weighted Korovkin-type theorem. We also establish
the order of convergence by using the modulus of smoothness and the weighted
modulus of continuity.
Share and Cite
ISRP Style
Çiğdem Atakut, Seda Karateke, Ibrahim Büyükyazıcı, On approximation process by certain modified Dunkl generalization of Szász-Beta type operators, Journal of Mathematics and Computer Science, 19 (2019), no. 1, 9--18
AMA Style
Atakut Çiğdem, Karateke Seda, Büyükyazıcı Ibrahim, On approximation process by certain modified Dunkl generalization of Szász-Beta type operators. J Math Comput SCI-JM. (2019); 19(1):9--18
Chicago/Turabian Style
Atakut, Çiğdem, Karateke, Seda, Büyükyazıcı, Ibrahim. "On approximation process by certain modified Dunkl generalization of Szász-Beta type operators." Journal of Mathematics and Computer Science, 19, no. 1 (2019): 9--18
Keywords
- Dunkl type generalization
- Genuine Szász beta operators
- modulus of smoothness
- Lipschitz functions
MSC
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