On Quantum Hermite-Hadamard-Fejer Type Integral Inequalities via Uniformly Convex Functions

被引：1
|
作者：
Barsam, Hasan [1 ]
Mirzadeh, Somayeh [2 ]
Sayyari, Yamin [3 ]
Ciurdariu, Loredana [4 ]
机构：
[1] Univ Jiroft, Fac Sci, Dept Math, POB 78671-61167, Jiroft, Iran
[2] Univ Hormozgan, Dept Math, POB 3995, Bandar Abbas, Iran
[3] Sirjan Univ Technol, Dept Math, POB 11155-9415, Sirjan, Iran
[4] Politehn Univ Timisoara, Dept Math, Timisoara 300006, Romania
来源：
FRACTAL AND FRACTIONAL | 2025年 / 9卷 / 02期
关键词：
Hermite-Hadamard inequality; <italic>q</italic>-integral inequality; <italic>q</italic>-calculus; uniformly convex function; MIDPOINT TYPE INEQUALITIES; RESPECT;
D O I：
10.3390/fractalfract9020108
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main goal of this study is to provide new q-Fejer and q-Hermite-Hadamard type integral inequalities for uniformly convex functions and functions whose second quantum derivatives in absolute values are uniformly convex. Two basic inequalities as power mean inequality and Holder's inequality are used in demonstrations. Some particular functions are chosen to illustrate the investigated results by two examples analyzed and the result obtained have been graphically visualized.
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页数：19
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