SOME NEW INTEGRAL INEQUALITIES VIA φ-PREINVEX FUNCTIONS

被引：0

作者：

Khan, S. ^{[1
]}

Awan, M. U. ^{[2
]}

Noor, M. A. ^{[3
]}

Safdar, F. ^{[4
]}

机构：

[1] Women Univ Sialkot, Govt Coll, Dept Math, Sialkot, Pakistan

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

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

[4] SBK Womens Univ, Brewery Rd, Quetta, Pakistan

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2019年 / 81卷 / 02期

关键词：

Convex; invex; preinvex; Hermite-Hadamard inequality; INVEX FUNCTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive a new integral identity involving differentiable function. Utilizing this identity as an auxiliary result we obtain several new Hermite-Hadamard type of integral inequalities. Special cases of the main results are also discussed in detail.

引用

页码：65 / 76

页数：12

共 17 条

[1] Mean value in invexity analysis [J].

Antczak, T .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (08) :1473-1484

[2] Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex [J].

Barani, Ali ;

Ghazanfari, Amir G. ;

Dragomir, Sever S. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,

[3] WHAT IS INVEXITY [J].

BENISRAEL, A ;

MOND, B .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1986, 28 :1-9

[4] INVEX FUNCTIONS AND CONSTRAINED LOCAL MINIMA [J].

CRAVEN, BD .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1981, 24 (03) :357-366

[5]

Dragomir S., 2000, Selected Topics on Hermite-Hadamard Inequalities and Applications

[6] Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula [J].

Dragomir, SS ;

Agarwal, RP .

APPLIED MATHEMATICS LETTERS, 1998, 11 (05) :91-95

[7] On some Hadamard-type inequalities for (h1, h2)-preinvex functions on the co-ordinates [J].

Matloka, Marian .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[8] ON INVEX SETS AND PREINVEX FUNCTIONS [J].

MOHAN, SR ;

NEOGY, SK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (03) :901-908

[9]

Noor M. A., 2007, J. Math. Anal. Approx. Theory, V2, P126

[10]

Noor M. A, 2006, INT J STOCHASTIC ANA, V2006

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