Some New Fractional Trapezium-Type Inequalities for Preinvex Functions

被引：7
|
作者：
Kashuri, Artion [1 ]
Set, Erhan [2 ]
Liko, Rozana [1 ]
机构：
[1] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora 9401, Albania
[2] Ordu Univ, Fac Sci & Arts, Dept Math, TR-52200 Ordu, Turkey
来源：
FRACTAL AND FRACTIONAL | 2019年 / 3卷 / 01期
关键词：
trapezium-type integral inequalities; preinvexity; general fractional integrals; HERMITE-HADAMARD TYPE; INTEGRAL-INEQUALITIES; CONVEX-FUNCTIONS; SIMPSON TYPE;
D O I：
10.3390/fractalfract3010012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, authors the present the discovery of an interesting identity regarding trapezium-type integral inequalities. By using the lemma as an auxiliary result, some new estimates with respect to trapezium-type integral inequalities via general fractional integrals are obtained. It is pointed out that some new special cases can be deduced from the main results. Some applications regarding special means for different real numbers are provided as well. The ideas and techniques described in this paper may stimulate further research.
引用
收藏
页码：1 / 13
页数：13
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