q-Szasz-Mirakyan-Kantorovich type operators preserving some test functions


ÖRKCÜ M. , DOĞRU O.

APPLIED MATHEMATICS LETTERS, cilt.24, sa.9, ss.1588-1593, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Konu: 9
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.aml.2011.04.001
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Sayfa Sayıları: ss.1588-1593

Özet

In this paper, we introduce a q-analogue of the Szasz-Mirakyan-Kantorovich operators and we propose two different modifications of the q-Szasz-Mirakyan-Kantorovich operators. These modifications preserve some test functions. We also examine the rate of convergence for the constructed operators by means of modulus of continuity. (C) 2011 Elsevier Ltd. All rights reserved.