ON SOME NEW AND GENERAL q-HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS

被引：0

作者：

Abdullah, Zoya ^{[1
]}

Yousaf, Awais ^{[2
]}

Promsakon, Chanon ^{[3
]}

Sitthiwirattham, Thanin ^{[4
]}

机构：

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

[2] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan

[3] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Bangkok 10800, Thailand

[4] Suan Dusit Univ, Fac Sci & Technol, Math Dept, Bangkok, Thailand

来源：

MISKOLC MATHEMATICAL NOTES | 2024年 / 25卷 / 01期

关键词：

Hermite-Hadamard inequality; midpoint inequalities; trapezoid inequalities; convex functions; MIDPOINT TYPE INEQUALITIES; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.18514/MMN.2024.4300

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a new version of Hermite-Hadamard type inequality for convex functions. Moreover, we establish a general version of q -integral identity involving qdifferentiable functions to prove some new q -midpoint and q -trapezoidal type inequalities for q -differentiable convex functions. It is also shown that the newly established inequalities can be converted into some existing inequalities within the literature. Finally, we add some mathematical examples to show the validation of newly established inequalities.

引用

页码：21 / 34

页数：14

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