Generalizations of Hermite-Hadamard Type Integral Inequalities for Convex Functions

被引：5

作者：

Wu, Ying ^{[1
]}

Yin, Hong-Ping ^{[1
]}

Guo, Bai-Ni ^{[2
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math & Phys, Tongliao 028043, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454010, Henan, Peoples R China

来源：

AXIOMS | 2021年 / 10卷 / 03期

关键词：

generalization; integral inequality; convex function; Hermite-Hadamard type; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.3390/axioms10030136

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, with the help of two known integral identities and by virtue of the classical Holder integral inequality, the authors establish several new integral inequalities of the Hermite-Hadamard type for convex functions. These newly established inequalities generalize some known results.

引用

页数：10

共 13 条

[1] SOME ITERATED FRACTIONAL q-INTEGRALS AND THEIR APPLICATIONS [J].

Cao, Jian ;

Srivastava, H. M. ;

Liu, Zhi-Guo .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (03) :672-695

[2] Convexity according to a pair of quasi-arithmetic means and inequalities [J].

Dinh Thanh Duc ;

Nguyen Ngoc Hue ;

Nguyen Du Vi Nhan ;

Vu Kim Tuan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 488 (01)

[3] 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

[4]

Hadamard J., 1893, Journal de Mathematiques Pures et Appliquees, V58, P171

[5]

Hermite C., 1883, MATHESIS, V3, P82

[6] Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula [J].

Kirmaci, US .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) :137-146

[7] New Hermite-Hadamard type integral inequalities for convex functions and their applications [J].

Mehrez, Khaled ;

Agarwal, Praveen .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 350 :274-285

[8]

Mitrinovic D.S., 1993, Classical and new inequalities in analysis, DOI [10.1007/978-94-017-1043-5, DOI 10.1007/978-94-017-1043-5]

[9]

Niculescu C.P., 2018, CMS BOOKS MATH, V2nd, DOI DOI 10.1007/978-3-319-78337-6

[10]

Pachpatte B.G., 2012, ATLANTIS STUDIES MAT, V3, DOI [10.2991/978-94-91216-44-2, DOI 10.2991/978-94-91216-44-2]

← 1 2 →