Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s,m)-P-Convex

被引：3

作者：

Bai, Yu-Mei ^{[1
]}

Wu, Shan-He ^{[2
]}

Wu, Ying ^{[1
]}

机构：

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

[2] Longyan Univ, Dept Math, Longyan 364012, Fujian, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷

关键词：

CONVEX-FUNCTIONS;

D O I：

10.1155/2018/1693075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish some new Hermite-Hadamard type integral inequalities for functions whose second-order mixed derivatives are coordinated (s,m)-P-convex. An expression form of Hermite-Hadamard type integral inequalities via the beta function and the hypergeometric function is also presented. Our results provide a significant complement to the work of Wu et al. involving the Hermite-Hadamard type inequalities for coordinated (s,m)-P-convex functions in an earlier article.

引用

页数：7

共 50 条

[41] Hermite-Hadamard and Fejer-type inequalities for strongly reciprocally (p, h)-convex functions of higher order [J].

Li, Han ;

Saleem, Muhammad Shoaib ;

Ahmed, Imran ;

Aslam, Kiran Naseem .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)

[42] On Hermite-Hadamard-Type Inequalities for Functions Satisfying Second-Order Differential Inequalities [J].

Aldawish, Ibtisam ;

Jleli, Mohamed ;

Samet, Bessem .

AXIOMS, 2023, 12 (05)

[43] Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces [J].

Dragomir, S. S. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (05) :1503-1515

[44] HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR HARMONICALLY RELATIVE PREINVEX FUNCTIONS [J].

Afzal, Sadia ;

Hussain, Sabir ;

Latif, Muhammad Amer .

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (03) :75-97

[45] GENERALIZATIONS OF INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE CONVEX AND m- CONVEX [J].

Ozdemir, M. Emin ;

Ekinci, Alper ;

Akdemir, Ahmet Ocak .

MISKOLC MATHEMATICAL NOTES, 2012, 13 (02) :441-457

[46] Fractional Hermite-Hadamard Type Integral Inequalities for Functions whose Modulus of Derivatives are Co-ordinated log-Preinvex [J].

Meftah, Badreddine .

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (02) :21-37

[47] QUANTUM HERMITE-HADAMARD INEQUALITIES FOR DOUBLE INTEGRAL AND q-DIFFERENTIABLE CONVEX FUNCTIONS [J].

Prabseang, Julalak ;

Nonlaopon, Kamsing ;

Tariboon, Jessada .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (03) :675-686

[48] HERMITE-HADAMARD TYPE INEQUALITIES FOR WRIGHT-CONVEX FUNCTIONS OF SEVERAL VARIABLES [J].

Sliwinska, Dorota ;

Wasowicz, Szymon .

OPUSCULA MATHEMATICA, 2015, 35 (03) :411-419

[49] On some inequalities related to fractional Hermite-Hadamard type for differentiable convex functions [J].

Budak, Huseyin ;

Kara, Hasan ;

Ali, Muhammad Aamir ;

Kiris, Mehmet Eyup .

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2021, 48 (02) :222-233

[50] Integral inequalities of Hermite-Hadamard type for logarithmically h-preinvex functions [J].

Noor, Muhammad Aslam ;

Noor, Khalida Inayat ;

Awan, Muhammad Uzair ;

Qi, Feng .

COGENT MATHEMATICS, 2015, 2

← 1 2 3 4 5 →