Approximation of Kantorovich-type max-product q-Bernstein operators
Georgian Mathematical Journal, cilt.33, sa.1, ss.41-54, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 1
- Basım Tarihi: 2026
- 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
- Sayfa Sayıları: ss.41-54
- 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.