Coefficient Inequalities for q-Convex Functions with Respect to q-Analogue of the Exponential Function-Reference-Cited by-同舟云学术

Coefficient Inequalities for q-Convex Functions with Respect to q-Analogue of the Exponential Function

Published:2023-12-15 Issue:12 Volume:12 Page:1130
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Khan Majid¹,Khan Nazar¹^ORCID,Tawfiq Ferdous M. O.²^ORCID,Ro Jong-Suk³⁴^ORCID

Affiliation:

1. Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22500, Pakistan

2. Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

3. School of Electrical and Electronics Engineering, Chung-Ang University, Dongjak gu, Seoul 06974, Republic of Korea

4. Department of Intelligent Energy and Industry, Chung-Ang University, Dongjak gu, Seoul 06974, Republic of Korea

Abstract

In mathematical analysis, the q-analogue of a function refers to a modified version of the function that is derived from q-series expansions. This paper is focused on the q-analogue of the exponential function and investigates a class of convex functions associated with it. The main objective is to derive precise inequalities that bound the coefficients of these convex functions. In this research, the initial coefficient bounds, Fekete–Szegő problem, second and third Hankel determinant have been determined. These coefficient bounds provide valuable information about the behavior and properties of the functions within the considered class.

Funder

National Research Foundation of Korea (NRF) grant

Korea Institute of Energy Technology Evaluation and Planning

Ministry of Trade, Industry Energy (MOTIE) of the Republic of Korea

King Saud University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/12/1130/pdf

Reference38 articles.

1. Differential inequalities and Carathéodory functions;Miller;Bull. Am. Math. Soc.,1975

2. Memoire sur certaines inegalitis dans la theorie des functions monogenses et sur quelques proprietes nouvelles de ces fonctions dans levoisinage dun point singulier essentiel;Lindelf;Ann. Soc. Sci. Fenn.,1909

3. Uber die Abschimlte Von potenzreihen die in ernein Kreise be schrankt bleiben;Rogosinski;Math. Z.,1928

4. On the coefficients of subordinate functions;Rogosinski;Proc. Lond. Math. Soc.,1943

5. Littlewood, J.E. (1944). Lectures on the Theory of Functions, Oxford University Press.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Sharp Coefficient Estimates for Q-Convex Functions Associated with Q-Analogue of the Cosine Functions;2024