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

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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Publication Details

Journal
Analele Universităţii "Ovidius" Constanţa. Seria Matematică
Published
2025-03-01
DOI
https://doi.org/10.2478/auom-2025-0005
Primary Topic
Financial Analysis and Corporate Governance
Type
article
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article

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

Analele Universităţii "Ovidius" Constanţa. Seria Matematică
Financial Analysis and Corporate Governance
article

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

article en

Abstract

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.

Analele Universităţii "Ovidius" Constanţa. Seria MatematicăVol. 33(1)
Technical University of Cluj-Napoca (RO), 1 Decembrie 1918 University (RO), Atatürk University (TR)
Reduced inequalities
Openalex Percentile: Top 40%
Financial Analysis and Corporate Governance
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Coefficient bounds for <i>q</i> -convex functions related to <i>q</i> -Bernoulli numbers · Analele Universităţii "Ovidius" Constanţa. Seria Matematică (2025) | TGRS Research Map | TGRS