Milne and Hermite-Hadamard's type inequalities for strongly multiplicative convex function via multiplicative calculus

被引：1

作者：

Umar, Muhammad ^{[1
]}

Butt, Saad Ihsan ^{[1
]}

Seol, Youngsoo ^{[2
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, Pakistan

[2] Dong A Univ, Dept Math, Busan 49315, South Korea

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 12期

关键词：

convex function; multiplicative convex function; strongly multiplicative convex function; Hermite-Hadamard type inequality; Milne type inequality;

D O I：

10.3934/math.20241625

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we take into account the notion of strongly multiplicative convex function and derive integral inequalities of Hermite-Hadamard (H.H) type for such a function in the frame of multiplicative calculus. We also develop integral inequalities of H.H type for product and quotient of strongly multiplicative convex and strongly multiplicative concave functions via multiplicative calculus. All the results of the theorems are verified graphically by taking into account some reasonable examples. Additionally, we establish the inequalities of the Milne type for strongly multiplicative convex functions.

引用

页码：34090 / 34108

页数：19

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