Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

被引：138
作者：
Khan, Muhammad Adil [1 ]
Chu, Yuming [2 ]
Khan, Tahir Ullah [1 ]
Khan, Jamroz [1 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
来源：
OPEN MATHEMATICS | 2017年 / 15卷
基金：
中国国家自然科学基金;
关键词：
s-convex function; Hermite-Hadamard inequality; Holder inequality; Trapezoidal formula; COMPLETE ELLIPTIC INTEGRALS; HOLDER MEAN INEQUALITIES; FRACTIONAL INTEGRALS; SHARP BOUNDS; CONCAVITY; RESPECT; TERMS; KIND;
D O I：
10.1515/math-2017-0121
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals. As applications, we provide new error estimations for the trapezoidal formula.
引用
收藏
页码：1414 / 1430
页数：17
相关论文
共 68 条
[1]  
[Anonymous], 2012, ABSTR APPL ANAL, DOI DOI 10.1155/2012/830585
[2]  
[Anonymous], 2012, ABSTR APPL AN
[3]  
Borwein JM., 2010, Convex functions: constructions, characterizations and counterexamples
[4]  
Chen F. X., 2014, J APPL MATH, V2014
[5]   Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions [J].
Chen, Feixiang ;
Wu, Shanhe .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (02) :705-716
[6]   On the Fractional Difference Equations of Order (2,q) [J].
Cheng, Jin-Fa ;
Chu, Yu-Ming .
ABSTRACT AND APPLIED ANALYSIS, 2011,
[7]   Fractional Difference Equations with Real Variable [J].
Cheng, Jin-Fa ;
Chu, Yu-Ming .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[8]   Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method [J].
Cheng, Jin-Fa ;
Chu, Yu-Ming .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011
[9]   Inequalities for α-fractional differentiable functions [J].
Chu, Yu-Ming ;
Khan, Muhammad Adil ;
Ali, Tahir ;
Dragomir, Sever Silvestru .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[10]   Generalizations of Hermite-Hadamard type inequalities for MT-convex functions [J].
Chu, Yu-Ming ;
Khan, Muhammad Adil ;
Khan, Tahir Ullah ;
Ali, Tahir .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06) :4305-4316
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