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

共 23 条

[1]

Alomari M., 2009, RGMIA RES REP COLL, V12

[2]

[Anonymous], 2000, RGMIA MONOGRAPHS

[3]

[Anonymous], CONVEX FUNCTIONS THE

[4]

[Anonymous], 2013, ANALYSIS-UK, DOI DOI 10.1524/ANLY.2013.1192

[5]

[Anonymous], 2010, Transylv. J. Math. Mech.

[6]

[Anonymous], U P B SCI B A

[7]

Cristescu G., 2002, Non-Connected Convexities and Applications

[8]

Cristescu G, 2015, CARPATHIAN J MATH, V31, P173

[9]

Dragomir S. S., 1995, Soochow J. Math, V21, P335

[10] On Simpson's inequality and applications [J].

Dragomir, SS ;

Agarwal, RP ;

Cerone, P .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (06) :533-579

← 1 2 3 →