Stancu-type generalization of Dunkl analogue of Szasz-Kantorovich operators

Icoz G., ÇEKİM B.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.39, sa.7, ss.1803-1810, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 7
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1002/mma.3602
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1803-1810
  • Anahtar Kelimeler: Dunkl analogue, Szasz operator, subclass41A25, 41A30, 41A35, POLYNOMIALS
  • Gazi Üniversitesi Adresli: Evet

Özet

The purpose of the paper is to introduce Stancu-type linear positive operators generated by Dunkl generalization of exponential function. We present approximation properties with the help of well-known Korovkin-type theorem and weighted Korovkin-type theorem and also acquire the rate of convergence in terms of classical modulus of continuity, the class of Lipschitz functions, Peetre's K-functional, and second-order modulus of continuity by Dunkl analogue of Szasz operators. Copyright (c) 2015 John Wiley & Sons, Ltd.