Some Trapezium-Like Inequalities Involving Functions Having Strongly n-Polynomial Preinvexity Property of Higher Order

被引：16
作者：
Awan, Muhammad Uzair [1 ]
Talib, Sadia [1 ]
Noor, Muhammad Aslam [2 ]
Chu, Yu-Ming [3 ,4 ]
Noor, Khalida Inayat [2 ]
机构：
[1] Govt Coll Univ, Dept Math, Faisalabad, Pakistan
[2] COMSATS Univ Islamabad, Dept Math, Islamabad, Pakistan
[3] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[4] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷
关键词：
CONVEX-FUNCTIONS; INTEGRALS;
D O I：
10.1155/2020/9154139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main objective of this paper is to introduce a new class of preinvex functions which is called asn-polynomial preinvex functions of a higher order. As applications of this class of functions, we discuss several new variants of trapezium-like inequalities. In order to obtain the main results of the paper, we use the concepts and techniques ofk-fractional calculus. We also discuss some special cases of the obtained results which show that the main results of the paper are quite unifying one.
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页数：9
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