The right Riemann-Liouville fractional Hermite-Hadamard type inequalities derived from Green's function

被引:21
作者
Iqbal, Arshad [1 ]
Adil Khan, Muhammad [1 ]
Suleman, Muhammad [1 ]
Chu, Yu-Ming [2 ]
机构
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
关键词
SEQUENCES INVOLVING CONVEX; INTEGRAL-INEQUALITIES; HARMONIC CONVEXITIES; (ALPHA; MONOTONICITY;
D O I
10.1063/1.5143908
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The purpose of this work is to present the right Riemann-Liouville fractional integral version of Hermite-Hadamard inequality via a relatively new method through the Green's function approach. In the process, some identities are established. Using these identities, we obtain loads of new results for functions whose second derivative is convex, monotone, and concave in absolute value. We anticipate that the method outlined in this article will stimulate further investigation in this direction.
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页数:9
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