Weighted approximation by q-Ibragimov-Gadjiev operators

Herdem S., BÜYÜKYAZICI İ.

MATHEMATICAL COMMUNICATIONS, cilt.25, sa.2, ss.201-212, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.201-212
  • Anahtar Kelimeler: q-Ibragimov-Gadjiev operators, weighted approximation, q-integers, q-derivatives
  • Ankara Üniversitesi Adresli: Evet

Özet

The present paper deals with a q-generalization of Ibragimov-Gadjiev operators, which were constructed by Ibragimov and Gadjiev in 1970. We study convergence properties on the interval [0, infinity) and obtain the rate of convergence in terms of a weighted modulus of continuity. We also give some representation formulas of the operators using q-derivatives.