On approximation process by certain modified Dunkl generalization of Szasz-Beta type operators

ATAKUT, ÇİĞDEM; Karateke, Seda; BÜYÜKYAZICI, İBRAHİM

doi:10.22436/jmcs.019.01.02

On approximation process by certain modified Dunkl generalization of Szasz-Beta type operators

ATAKUT Ç., Karateke S., BÜYÜKYAZICI İ.

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, cilt.19, sa.1, ss.9-18, 2019 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 19 Sayı: 1
Basım Tarihi: 2019
Doi Numarası: 10.22436/jmcs.019.01.02
Dergi Adı: JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.9-18
Anahtar Kelimeler: Dunkl type generalization, Genuine-Szasz beta operators, modulus of smoothness, Lipschitz functions
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we give a generalization of the Szasz-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.