Some Quantum Estimates Of Hermite-Hadamard Inequalities For φ-Convex Functions

被引：0

作者：

Rangel-Oliveros, Yenny ^{[1
]}

Nwaeze, Eze R. ^{[2
]}

Khan, Muhammad Adil ^{[3
]}

机构：

[1] Pontificia Univ Catolica Ecuador, Fac Ciencias Exactas & Nat, Escuela Ciencias Fis & Matemat, Quito 170143, Ecuador

[2] Alabama State Univ, Dept Math & Comp Sci, Montgomery, AL 36101 USA

[3] Univ Peshawar, Dept Math, Peshawar, Pakistan

来源：

APPLIED MATHEMATICS E-NOTES | 2022年 / 22卷

关键词：

INTEGRAL-INEQUALITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we develop some quantum estimates of Hermite-Hadamard type inequalities for phi-convex functions. In some special cases, these quantum estimates reduce to known results.

引用

页码：232 / 251

页数：20

共 27 条

[1] NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE SECOND DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX [J].

Alomari, M. ;

Darus, M. ;

Dragomir, S. S. .

TAMKANG JOURNAL OF MATHEMATICS, 2010, 41 (04) :353-359

[2]

[Anonymous], 2012, A Comprehensive Treatment of q-Calculus

[3] 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

[4]

Dragomir S. S., 2017, Moroccan J. of Pure and Appl. Anal., V3, P83

[5] CERTAIN INTEGRAL INEQUALITIES CONSIDERING GENERALIZED m-CONVEXITY ON FRACTAL SETS AND THEIR APPLICATIONS [J].

Du, Tingsong ;

Wang, Hao ;

Khan, Muhammad Adil ;

Zhang, Yao .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2019, 27 (07)

[6] A method for q-calculus [J].

Ernst, T .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2003, 10 (04) :487-525

[7]

Gauchman H, 2004, COMPUT MATH APPL, V47, P281, DOI 10.1016/S0898-1221(04)00012-4

[8] ON φ-CONVEX FUNCTIONS [J].

Gordji, M. Eshaghi ;

Delavar, M. Rostamian ;

De La Sen, M. .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (01) :173-183

[9] Revisiting the Hermite-Hadamard fractional integral inequality via a Green function [J].

Iqbal, Arshad ;

Khan, Muhammad Adil ;

Mohammad, Noor ;

Nwaeze, Eze R. ;

Chu, Yu-Ming .

AIMS MATHEMATICS, 2020, 5 (06) :6087-6107

[10] The right Riemann-Liouville fractional Hermite-Hadamard type inequalities derived from Green's function [J].

Iqbal, Arshad ;

Adil Khan, Muhammad ;

Suleman, Muhammad ;

Chu, Yu-Ming .

AIP ADVANCES, 2020, 10 (04)

← 1 2 3 →