Conformable fractional Hermite-Hadamard type inequalities for functions whose derivatives are s-preinvex

被引：0

作者：

Merad, M. ^{[1
]}

Meftah, B. ^{[1
]}

Berkane, A. ^{[2
]}

机构：

[1] Univ 8 Mai 1945, Dept Math, Fac Math Informat & Sci Mat, Guelma, Algeria

[2] Univ Badji Mokhtar Annaba, Fac Sci, Dept Math, Annaba, Algeria

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2024年 / 27卷 / 03期

关键词：

Integral inequality; s-preinvex functions; Holder inequality; Conformable fractional integral; CONVEX FUNCTIONS; INTEGRAL-INEQUALITIES; MAPPINGS;

D O I：

10.47974/JIM-1729

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a new integral identity, based on this identity, we derive some new conformable fractional Hermite-Hadamard type inequalities for functions whose first derivatives are s-preinvex in the second sense.

引用

页码：511 / 526

页数：16

共 50 条

[1] Hermite-Hadamard type inequalities for operator s-preinvex functions
Wang, Shu-Hong
Liu, Xi-Min
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 1070 - 1081
[2] Integral inequalities of Hermite-Hadamard type for functions whose derivatives are α-preinvex
Wang, Yan
Zheng, Miao-Miao
Qi, Feng
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[3] Integral inequalities of Hermite-Hadamard type for functions whose derivatives are α-preinvex
Yan Wang
Miao-Miao Zheng
Feng Qi
[J]. Journal of Inequalities and Applications, 2014 (1)
[4] HERMITE-HADAMARD TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED s-PREINVEX FUNCTIONS AND THEIR GENERALIZATION
Sun, Wenbing
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (04)
[5] Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense
Meftah, Badreddine
Souahi, Abdourazek
[J]. ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA, 2019, 18 (01) : 67 - 83
[6] Hermite-Hadamard Type Inequalities For Conformable Integrals Via Preinvex Functions
Khurshid, Yousaf
Khan, Muhammad Adil
[J]. APPLIED MATHEMATICS E-NOTES, 2021, 21 : 437 - 450
[7] Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions
LIAN TIE-YAN
TANG WEI
ZHOU RUI
Ji You-qing
[J]. Communications in Mathematical Research, 2018, 34 (04) : 351 - 362
[8] The Left Conformable Fractional Hermite-Hadamard Type Inequalities for Convex Functions
Turhan, Sercan
[J]. FILOMAT, 2019, 33 (08) : 2417 - 2430
[9] Hermite-Hadamard type inequalities for conformable fractional integrals
Khan, M. Adil
Ali, T.
Dragomir, S. S.
Sarikaya, M. Z.
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) : 1033 - 1048
[10] Fractional Hermite-Hadamard Type Integral Inequalities for Functions whose Modulus of Derivatives are Co-ordinated log-Preinvex
Meftah, Badreddine
[J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (02): : 21 - 37

← 1 2 3 4 5 →