Hadamard Type Inequalities for m-convex and (α, m)-convex Functions via Fractional Integrals

被引：0

作者：

Ardic, Merve Avci ^{[1
]}

Ekinci, Alper ^{[2
]}

Akdemir, Ahmet Ocak ^{[2
]}

Ozdemir, M. Emin ^{[3
]}

机构：

[1] Adiyaman Univ, Fac Sci & Arts, Dept Math, TR-02040 Adiyaman, Turkey

[2] Ibrahim Cecen Univ Agri, Fac Sci & Arts, Dept Math, TR-04100 Agri, Turkey

[3] Uludag Univ, Educ Fac, Bursa, Turkey

来源：

6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017) | 2018年 / 1926卷

关键词：

D O I：

10.1063/1.5020455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we established some new Hadamard-type integral inequalities for functions whose derivatives of absolute values are m-convex and (alpha, m) convex functions via Riemann-Liouville fractional integrals.

引用

页数：8

共 50 条

[21] Jensen-type inequalities for m-convex functions
Bosch, Paul
Quintana, Yamilet
Rodriguez, Jose M.
Sigarreta, Jose M.
[J]. OPEN MATHEMATICS, 2022, 20 (01): : 946 - 958
[22] Some Hermite-Hadamard type inequalities for (P, m)-function and quasi m-convex functions
Kadakal, Mahir
[J]. INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, 2020, 10 (01): : 78 - 84
[23] Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
Iscan, Imdat
Wu, Shanhe
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 237 - 244
[24] Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals
Iscan, Imdat
[J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2015, 60 (03): : 355 - 366
[25] Hadamard Inequalities for Strongly (α, m)-Convex Functions via Caputo Fractional Derivatives
Dong, Yanliang
Zeb, Muhammad
Farid, Ghulam
Bibi, Sidra
[J]. JOURNAL OF MATHEMATICS, 2021, 2021
[26] On the Fractional Hermite-Hadamard Type Inequalities for (α, m)-Logarithmically Convex Functions
Wang, JinRong
Liao, Yumei
Deng, JianHua
[J]. FILOMAT, 2015, 29 (07) : 1565 - 1580
[27] A Note on Hermite-Hadamard-Fejer Type Inequalities for Functions Whose n-th Derivatives Are m-Convex or (a,m)-Convex Functions
Kovac, Sanja
[J]. AXIOMS, 2022, 11 (01)
[28] Hadamard and Fejér–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals
Abbas G.
Farid G.
[J]. The Journal of Analysis, 2017, 25 (1) : 107 - 119
[29] m-GEOMETRICALLY CONVEX FUNCTIONS AND HADAMARD TYPE INEQUALITIES VIA RIEMANN-LIOUVILLE INTEGRALS
Akdemir, Ahmet Ocak
Set, Erhan
Ozdemir, M. Emin
[J]. PROCEEDINGS OF THE7TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL. 1, 2020, : 56 - 58
[30] Fractional inequalities of the Hermite-Hadamard type for m-polynomial convex and harmonically convex functions
Nwaeze, Eze R.
Khan, Muhammad Adil
Ahmadian, Ali
Ahmad, Mohammad Nazir
Mahmood, Ahmad Kamil
[J]. AIMS MATHEMATICS, 2021, 6 (02): : 1889 - 1904

← 1 2 3 4 5 →