Coefficient bounds for <i>q</i>-convex functions related to <i>q</i>-Bernoulli numbers

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Breaz D., Orhan H., Arikan H., Cotirla L.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, sa.1, ss.77-92, 2025 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• 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.