Approximation of Kantorovich-type max-product q-Bernstein operators

ÇİT S., Muraru C. V., DOĞRU O.

Georgian Mathematical Journal, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1515/gmj-2025-2040
  • Dergi Adı: Georgian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Anahtar Kelimeler: max-product Kantorovich operators, Max-product operators, modulus of continuity, nonlinear q-Bernstein operators
  • Gazi Üniversitesi Adresli: Evet

Özet

In this article, we show that the approximation order of Kantorovich-type max-product Bernstein operators can be improved. We are able to obtain a better approximation order for q-Bernstein operators. In addition, we present a Kantorovich-type generalization of max-product operators based on q-integers. In particular, we find the approximation order (via the classical modulus of continuity) of the Kantorovich-type max-product q-Bernstein operator.