Ibragimov-Gadjiev operators based on q-integers

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Herdem S., BÜYÜKYAZICI İ.

ADVANCES IN DIFFERENCE EQUATIONS, cilt.2018, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2018
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1186/s13662-018-1766-9
  • Dergi Adı: ADVANCES IN DIFFERENCE EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: q-calculus, q-Ibragimov-Gadjiev operators, Rate of convergence, Modulus of continuity, Peetre K-functional, SZASZ-MIRAKJAN OPERATORS, APPROXIMATION PROPERTIES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we define the q-analogue of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We study some approximation properties of these new operators, and we show that this sequence of operators is a generalization of well-known q-Bernstein, q-Chlodowsky, and q-Szasz-Mirakyan operators as a particular case.