Some Integral Inequalities for p-Convex Functions

被引：10

作者：

Noor, Muhammad Aslam ^{[1
]}

Awan, Muhammad Uzair ^{[2
]}

Noor, Khalida Inayat ^{[1
]}

Postolache, Mihai ^{[3
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Pk Rd, Islamabad, Pakistan

[2] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

[3] Univ Politehn Bucuresti, Fac Sci Appl, Dept Math Informat, Bucharest, Romania

来源：

FILOMAT | 2016年 / 30卷 / 09期

关键词：

Convex functions; p-convex functions; Hermite-Hadamard inequality; Simpson inequality;

D O I：

10.2298/FIL1609435N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the class of p-convex functions. We derive some new integral inequalities of Hermite-Hadamard and Simpson type for differentiable p-convex functions using two new integral identities. Some special cases are also discussed. Interested readers may find novel and innovative applications of p-convex functions in various branches of pure and applied sciences. The ideas and techniques of this paper may stimulate further research in this field.

引用

页码：2435 / 2444

页数：10