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

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ATAKUT Ç., Karateke S., BÜYÜKYAZICI İ.

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

  • 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
  • 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.