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

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Axioms Pub Date : 2023-12-15 DOI:10.3390/axioms12121130

Majid Khan, N. Khan, F. Tawfiq, Jong-Suk Ro

引用次数: 0

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.

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关于指数函数 q 类的 q 凸函数系数不等式

在数学分析中，一个函数的 q-analogue 指的是由 q 序列展开得到的函数的修正版。本文的重点是指数函数的 q-analogue 并研究与之相关的一类凸函数。主要目的是推导出约束这些凸函数系数的精确不等式。在这项研究中，确定了初始系数边界、Fekete-Szegő 问题、第二和第三汉克尔行列式。这些系数边界提供了有关所考虑类别中函数的行为和性质的宝贵信息。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.