Dunkl generalization of Szasz beta-type operators

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ÇEKİM B., DİNLEMEZ KANTAR Ü., YÜKSEL İ.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.40, sa.18, ss.7697-7704, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 18
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1002/mma.4555
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.7697-7704
  • Gazi Üniversitesi Adresli: Evet

Özet

The goal in the paper is to advertise Dunkl extension of Szasz beta-type operators. We initiate approximation features via acknowledged Korovkin and weighted Korovkin theorem and obtain the convergence rate from the point of modulus of continuity, second-order modulus of continuity, the Lipschitz class functions, Peetre's K-functional, and modulus of weighted continuity by Dunkl generalization of Szasz beta-type operators.