New Hermite-Hadamard type inequalities on fractal set

被引：0

作者：

Tunc, Tuba ^{[1
]}

Budak, Huseyin ^{[1
]}

Usta, Fuat ^{[1
]}

Sarikaya, Mehmet Zeki ^{[1
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 01期

关键词：

Hermite-Hadamard inequality; fractal set; h-convex function; INTEGRAL-INEQUALITIES;

D O I：

10.22075/ijnaa.2018.12156.1611

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we present the new Hermite-Hadamard type inequality for functions which are h-convex on fractal set R-alpha (0 < alpha <= 1) of real line numbers. Then we provide the special cases of the result using different type of convex mappings.

引用

页码：782 / 789

页数：8

共 50 条

[21] Sharp integral inequalities of the Hermite-Hadamard type
Guessab, A
Schmeisser, G
JOURNAL OF APPROXIMATION THEORY, 2002, 115 (02) : 260 - 288
[22] New Conformable Fractional Integral Inequalities of Hermite-Hadamard Type for Convex Functions
Mohammed, Pshtiwan Othman
Hamasalh, Faraidun Kadir
SYMMETRY-BASEL, 2019, 11 (02):
[23] GENERALIZED FRACTIONAL HERMITE-HADAMARD INEQUALITIES
Noor, Muhammad Aslam
Noor, Khalida Inayat
Awan, Muhammad Uzair
MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 1001 - 1011
[24] Hermite-Hadamard type inequalities for multiplicatively harmonic convex functions
Ozcan, Serap
Butt, Saad Ihsan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
[25] Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions
Ozcana, Serap
FILOMAT, 2023, 37 (28) : 9777 - 9789
[26] HERMITE-HADAMARD TYPE INEQUALITIES AND RELATED INEQUALITIES FOR SUBADDITIVE FUNCTIONS
Sarikaya, Mehmet Zeki
Ali, Muhammad Aamir
MISKOLC MATHEMATICAL NOTES, 2021, 22 (02) : 929 - 937
[27] New generalized Hermite-Hadamard type inequalities and applications to special means
JinRong Wang
Chun Zhu
Yong Zhou
Journal of Inequalities and Applications, 2013
[28] Hermite-Hadamard type inequalities for a new class of harmonically convex functions
Olanipekun, Peter Olamide
Mogbademu, Adesanmi A.
Dragomir, Sever Silvestru
NOTE DI MATEMATICA, 2018, 38 (01): : 23 - 33
[29] NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR GENERALIZED CONVEX FUNCTIONS WITH APPLICATIONS
Set, Erhan
Tomar, Muharrem
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2016, 31 (02): : 383 - 397
[30] New Hermite-Hadamard type integral inequalities for convex functions and their applications
Mehrez, Khaled
Agarwal, Praveen
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 350 : 274 - 285

← 1 2 3 4 5 →