Some New Improvements for Fractional Hermite-Hadamard Inequalities by Jensen-Mercer Inequalities

被引：0
|
作者：
Alshehri, Maryam Gharamah Ali [1 ]
Hyder, Abd-Allah [2 ]
Budak, Huseyin [3 ]
Barakat, Mohamed A. [4 ]
机构：
[1] Univ Tabuk, Fac Sci, Dept Math, Tabuk, Saudi Arabia
[2] King Khalid Univ, Coll Sci, Dept Math, Box 9004, Abha 61413, Saudi Arabia
[3] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkiye
[4] Univ Coll Al Wajh, Univ Tabuk, Dept Basic Sci, Tabuk, Saudi Arabia
来源：
JOURNAL OF FUNCTION SPACES | 2024年 / 2024卷
关键词：
D O I：
10.1155/2024/6691058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article's objective is to introduce a new double inequality based on the Jensen-Mercer JM inequality, known as the Hermite-Hadamard-Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities. Moreover, in addition to the JM inequality, we also use the H & ouml;lder inequality and the power mean inequality. Finally, a few examples are given to highlight the main points of our outcomes.
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页数：13
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