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

[21] Some inequalities for differentiable coordinated convex mappings
Sarikaya, Mehmet Zeki
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (03)
[22] Some New Post-Quantum Simpson's Type Inequalities for Coordinated Convex Functions
Wannalookkhee, Fongchan
Nonlaopon, Kamsing
Ntouyas, Sotiris K.
Sarikaya, Mehmet Zeki
Budak, Huseyin
MATHEMATICS, 2022, 10 (06)
[23] New Generalized Trapezoid-Type Inequalities for Complex Functions Defined on the Unit Circle and their Applications
H. Budak
Ukrainian Mathematical Journal, 2021, 72 : 1872 - 1885
[24] New Generalized Trapezoid-Type Inequalities for Complex Functions Defined on the Unit Circle and their Applications
Budak, H.
UKRAINIAN MATHEMATICAL JOURNAL, 2021, 72 (12) : 1872 - 1885
[25] Study of Quantum Ostrowski-Type Inequalities for Differentiable Convex Functions
M. A. Ali
M. Fečkan
A. Mateen
Ukrainian Mathematical Journal, 2023, 75 : 5 - 28
[26] Study of Quantum Ostrowski-Type Inequalities for Differentiable Convex Functions
Ali, M. A.
Feckan, M.
Mateen, A.
UKRAINIAN MATHEMATICAL JOURNAL, 2023, 75 (01) : 5 - 28
[27] On generalizations of post quantum midpoint and trapezoid type inequalities for (?, m)-convex functions
Gulshan, Ghazala
Budak, Huseyin
Hussain, Rashida
Sadiq, Asad
FILOMAT, 2023, 37 (14) : 4493 - 4506
[28] A new version of q-Hermite-Hadamard's midpoint and trapezoid type inequalities for convex functions
Ali, Muhammad Aamir
Budak, Huseyin
Feckan, Michal
Khan, Sundas
MATHEMATICA SLOVACA, 2023, 73 (02) : 369 - 386
[29] A new extension of quantum Simpson's and quantum Newton's type inequalities for quantum differentiable convex functions
Ali, Muhammad Aamir
Budak, Huseyin
Zhang, Zhiyue
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (04) : 1845 - 1863
[30] Some New Quantum Hermite-Hadamard-Like Inequalities for Coordinated Convex Functions
Budak, Huseyin
Ali, Muhammad Aamir
Tarhanaci, Meliha
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2020, 186 (03) : 899 - 910

← 1 2 3 4 5 →