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-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 9
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.aml.2011.04.001
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1588-1593
  • Anahtar Kelimeler: q-Szasz-Mirakyan operators, q-integers, Szasz-Mirakyan-Kantorovich operators, Modulus of continuity, APPROXIMATION, POLYNOMIALS
  • Gazi Üniversitesi Adresli: Evet

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.