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


Icoz G., ÇEKİM B.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.39, ss.1803-1810, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 7
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1002/mma.3602
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayıları: ss.1803-1810

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.