Sharp inequalities for a class of novel convex functions associated with Gregory polynomials
This paper explores the class $\mathcal{C}_{G}$ , consisting of functions g that satisfy a specific subordination relationship with Gregory coefficients in the open unit disk E. By applying certain conditions to related coefficient functionals, we establish sharp estimates for the first five coefficients of these functions. Additionally, we derive bounds for the second and third Hankel determinants of functions in $\mathcal{C}_{G}$ , providing further insight into the class’s properties. Our study also investigates the logarithmic coefficients of $\log \left ( \frac{g(t)}{t}\right ) $ and the inverse coefficients of the inverse functions $(g^{-1})$ within the same class.
Authors
- Emad E. Mahmoud (ORCID: https://orcid.org/0000-0003-2757-2765)
- A. A. Alderremy (ORCID: https://orcid.org/0000-0002-7401-0522)
- Nak Eun Cho (ORCID: https://orcid.org/0000-0002-5288-6937)
- Alina Alb Lupaş (ORCID: https://orcid.org/0000-0002-2855-7535)
- H. M. Srivastava (ORCID: https://orcid.org/0000-0002-9277-8092)
- Shahid Khan (ORCID: https://orcid.org/0000-0003-0361-4887)
Institutions
- Uninett (Norway) (NO)
- Chung Yuan Christian University (TW)
- University of Oradea (RO)
- Taif University (SA)
- China Medical University (TW)
- University of Victoria (CA)
- Abbottabad University of Science and Technology (PK)
- Kyung Hee University (KR)
- China Medical University Hospital (TW)
- UniNettuno University (IT)
- King Khalid University (SA)
- Azerbaijan University (AZ)
- Pukyong National University (KR)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2024-11-08
- DOI
- https://doi.org/10.1186/s13660-024-03210-5
- Citations
- 6
- Primary Topic
- Analytic and geometric function theory
- Type
- article
- Field-Weighted Citation Impact
- 6.07
Funders
- King Khalid University