On γ-Preinvex Functions

被引：10

作者：

Awan, Muhammad Uzair ^{[1
]}

Talib, Sadia ^{[1
]}

Noor, Muhammad Aslam ^{[2
]}

Noor, Khalida Inayat ^{[2
]}

机构：

[1] GC Univ Faisalabad, Math Dept, Faisalabad, Pakistan

[2] COMSATS Univ Islamabad, Math Dept, Pk Rd, Islamabad, Pakistan

来源：

FILOMAT | 2020年 / 34卷 / 12期

关键词：

Convex; preinvex; gamma-preinvex functions; differentiable; Hermite-Hadamard inequalities; INTEGRAL-INEQUALITIES;

D O I：

10.2298/FIL2012137A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the paper is to introduce the notion of gamma-preinvex functions. We study this class in perspective of inequalities of Hermite-Hadamard type. We also derive some new estimates of upper bounds involving n-times differentiable gamma-preinvex functions. Some special cases are also discussed which shows that the obtained results are quite unifying one.

引用

页码：4137 / 4159

页数：23

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