Coefficient bounds for <i>q</i>-convex functions related to <i>q</i>-Bernoulli numbers
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.33, sa.1, ss.77-92, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 1
- Basım Tarihi: 2025
- Doi Numarası: 10.2478/auom-2025-0005
- Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.77-92
- Atatürk Üniversitesi Adresli: Evet
Özet
The main objective of this paper is to present and investigate a subclass C(b, q) of q-convex functions in the unit disk that is defined by the q-Bernoulli numbers. For this subclass, we find the upper bounds on the Fekete-Szeg functional, the coefficient bounds, and the second Hankel determinant.