Some new properties of geometrically-convex functions

被引：1

作者：

Furuichi, Shigeru ^{[1
]}

Minculete, Nicusor ^{[2
]}

Moradi, Hamid Reza ^{[3
]}

Sababheh, Mohammad ^{[4
]}

机构：

[1] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, Tokyo, Japan

[2] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov 500091, Romania

[3] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Iran

[4] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan

来源：

QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 04期

关键词：

Geometrically-convex function; Hermite-Hadamard inequality; doubly-convex functions; HADAMARD TYPE INEQUALITIES; INTEGRAL-INEQUALITIES; JENSEN;

D O I：

10.2989/16073606.2023.2256476

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The class of geometrically convex functions is a rich class that contains some important functions. In this paper, we further explore this class and present many interesting new properties, including fundamental inequalities, supermultiplicative type inequalities, Jensen-Mercer inequality, integral inequalities, and refined forms. The obtained results extend some celebrated results from the context of convexity to geometric convexity, with interesting applications to numerical inequalities for the hyperbolic and exponential functions.

引用

页码：831 / 849

页数：19

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