Coefficient bounds for q-convex functions related to q-Bernoulli numbers

Breaz, Daniel; Orhan, Halit; Arıkan, Hava; Cotîrlă, Luminiţa-Ioana

doi:10.2478/auom-2025-0005

Abstract

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.

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Coefficient bounds for q-convex functions related to q-Bernoulli numbers

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