QUANTUM HERMITE-HADAMARD INEQUALITIES FOR DOUBLE INTEGRAL AND q-DIFFERENTIABLE CONVEX FUNCTIONS

被引:25
作者
Prabseang, Julalak [1 ]
Nonlaopon, Kamsing [1 ]
Tariboon, Jessada [2 ]
机构
[1] Khon Kaen Univ, Dept Math, Fac Sci, Khon Kaen 40002, Thailand
[2] King Mongkuts Univ Technol North Bangkok, Dept Math, Fac Appl Sci, Bangkok 10800, Thailand
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 03期
关键词
Hermite-Hadamard inequalities; q-derivative; q-integral; convex functions; BOUNDARY-VALUE-PROBLEMS;
D O I
10.7153/jmi-2019-13-45
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish some new quantum analogue of Hermite-Hadamard inequalities for double integral and refinements of Hermite-Hadamard inequality for q-differentiable convex functions.
引用
收藏
页码:675 / 686
页数:12
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