Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale

被引：66

作者：

Rashid, Saima ^{[1
,2
]}

Noor, Muhammad Aslam ^{[2
]}

Noor, Khalida Inayat ^{[2
]}

Safdar, Farhat ^{[3
]}

Chu, Yu-Ming ^{[4
]}

机构：

[1] Govt Coll Univ, Dept Math, Faisalabad 38000, Pakistan

[2] COMSATS Univ Islamabad, Dept Math, Islamabad 45550, Pakistan

[3] SBK Univ, Dept Math, Quetta 87300, Pakistan

[4] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

来源：

MATHEMATICS | 2019年 / 7卷 / 10期

关键词：

convex functions; Hermite-Hadamard inequality; (Psi(1); Psi(2))-convex functions; Time scale; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.3390/math7100956

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a time scale version of two auxiliary functions for the class of convex functions. We derive several novel dynamic inequalities for these classes of convex functions. Applications of these consequences are taken into consideration in special means. Furthermore, illustrative examples are introduced to help our outcomes. Meanwhile, we communicate a few particular cases which may be deduced from our main outcomes.

引用

页数：20

共 34 条

[1] Inequalities on time scales: A survey [J].

Agarwal, R ;

Bohner, M ;

Peterson, A .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (04) :535-557

[2]

Akin-Bohner E., 2005, JIPAM. J. Inequal. Pure Appl. Math, V6, P1

[3] SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-CONVEX FUNCTIONS [J].

Alomari, Mohammad W. ;

Darus, Maslina ;

Kirmaci, Ugur S. .

ACTA MATHEMATICA SCIENTIA, 2011, 31 (04) :1643-1652

[4]

Ammi MRS, 2008, J INEQUAL APPL, DOI 10.1155/2008/576876

[5]

[Anonymous], 2008, J INEQUAL PURE APPL

[6]

[Anonymous], 2001, Dynamic equation on time scales. An introduction with applications

[7]

[Anonymous], 2019, ENGINEERING, DOI DOI 10.3390/JMSE7060194

[8]

[Anonymous], ISRN MATH ANAL

[9]

[Anonymous], 2019, J COMPUT ANAL APPL

[10]

Dinu C, 2007, ANN UNIV CRAIOVA-MAT, V34, P43

← 1 2 3 4 →