Article
2025
·
0 citations
Coefficient bounds for <i>q</i>-convex functions related to <i>q</i>-Bernoulli numbers
Breaz, Daniel, Orhan, Halit, Arikan, Hava, Cotirla, Luminita-Ioana
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.
Keywords
Analytic and univalent functions
q-derivative
q-convex functions
q-Bernoulli numbers
Fekete-Szeg inequality
Hankel determinant
Q-STARLIKE FUNCTIONS
EULER
WoS Categories
Mathematics, Applied
Mathematics
Citation
- Journal
- ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
- Year
- 2025
- Volume
- 33
- Issue
- 1
- Pages
- 77-92
- ISSN
- 1224-1784
- eISSN
- 1844-0835
- DOI
- 10.2478/auom-2025-0005
- WoS UID
- WOS:001459911000012