On some new quantum trapezoid-type inequalities for q-differentiable coordinated convex functions

被引：5

作者：

Wannalookkhee, Fongchan ^{[1
]}

Nonlaopon, Kamsing ^{[1
]}

Sarikaya, Mehmet Zeki ^{[2
]}

Budak, Huseyin ^{[2
]}

Ali, Muhammad Aamir ^{[3
]}

机构：

[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

[2] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye

[3] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

关键词：

Hermite-Hadamard inequality; Convex function; Coordinated convex function; q-derivative; q-integral; q-calculus; MIDPOINT TYPE INEQUALITIES; HADAMARD INEQUALITY;

D O I：

10.1186/s13660-023-02917-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish several new inequalities for q-differentiable coordinated convex functions that are related to the right side of Hermite-Hadamard inequalities for coordinated convex functions. We also show that the inequalities proved in this paper generalize the results given in earlier works. Moreover, we give some examples in order to demonstrate our main results.

引用

页数：25

共 50 条

[41] SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS AND APPLICATIONS
Xi, Bo-Yan
Qi, Feng
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (03): : 243 - 257
[42] On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions
Jhanthanam, Seksan
Tariboon, Jessada
Ntouyas, Sotiris K.
Nonlaopon, Kamsing
MATHEMATICS, 2019, 7 (07)
[43] New Forms of the Open Newton-Cotes-Type Inequalities for a Family of the Quantum Differentiable Convex Functions
Soontharanon, Jarunee
Ali, Muhammad Aamir
Rezapour, Shahram
Toseef, Muhammad
Sitthiwirattham, Thanin
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2025, 22 (01):
[44] Some new Hermite-Hadamard type inequalities for MT-convex functions on differentiable coordinates
Mohammed, P. O.
JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2018, 30 (02) : 258 - 262
[45] Some Generalizations of Different Types of Quantum Integral Inequalities for Differentiable Convex Functions with Applications
Zhao, Dafang
Ali, Muhammad Aamir
Luangboon, Waewta
Budak, Huseyin
Nonlaopon, Kamsing
FRACTAL AND FRACTIONAL, 2022, 6 (03)
[46] Some new Hermite-Hadamard type inequalities for differentiable co-ordinated convex functions
Guo, Xu-Yang
Qi, Feng
Xi, Bo-Yan
COGENT MATHEMATICS, 2015, 2
[47] Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions
Berhail, Amel
Meftah, Badreddine
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2024, 21 (03): : 267 - 278
[48] On Some New Maclaurin's Type Inequalities for Convex Functions in q-Calculus
Sitthiwirattham, Thanin
Ali, Muhammad Aamir
Budak, Huseyin
FRACTAL AND FRACTIONAL, 2023, 7 (08)
[49] Some new q-Hermite-Hadamard type inequalities for the product of convex functions
Budak, Huseyin
Ali, Muhammad Aamir
Alp, Necmettin
Awais, Hafiz Muhammad
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (08) : 2141 - 2166
[50] ON SOME NEW AND GENERAL q-HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS
Abdullah, Zoya
Yousaf, Awais
Promsakon, Chanon
Sitthiwirattham, Thanin
MISKOLC MATHEMATICAL NOTES, 2024, 25 (01) : 21 - 34

← 1 2 3 4 5 →