Weighted approximation by q-Ibragimov-Gadjiev operators

Herdem S., BÜYÜKYAZICI İ.

MATHEMATICAL COMMUNICATIONS, vol.25, no.2, pp.201-212, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 2
  • Publication Date: 2020
  • Journal Name: MATHEMATICAL COMMUNICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.201-212
  • Keywords: q-Ibragimov-Gadjiev operators, weighted approximation, q-integers, q-derivatives
  • Ankara University Affiliated: Yes

Abstract

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.