Dunkl analogue of Szasz operators

Sucu S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.244, ss.42-48, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 244
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.amc.2014.06.088
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.42-48
  • Anahtar Kelimeler: Szasz operator, Generalization of exponential function, Dunkl operator, Modulus of smoothness, Q-BERNSTEIN POLYNOMIALS, APPROXIMATION PROPERTIES, CONVERGENCE
  • Ankara Üniversitesi Adresli: Evet

Özet

The main purpose of this paper is to construct linear positive operators generated by Dunkl generalization of exponential function. We present qualitative result with the help of universal Korovkin-type theorem and weighted Korovkin-type theorem and also get quantitative estimates in terms of classical modulus of continuity, the class of Lipschitz functions, Peetre's K-functional, second order modulus of continuity and weighted modulus of continuity by Dunkl analogue of Szasz operators. (C) 2014 Elsevier Inc. All rights reserved.