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

[31] INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE m-CONVEX
Set, Erhan
Ozdemir, M. Emin
Sarikaya, Mehmet Zeki
[J]. ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 861 - +
[32] NEW OSTROWSKI TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS AND APPLICATIONS
Kavurmaci, Havva
Ozdemir, M. Emin
Avci, Merve
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (02): : 135 - 145
[33] Novel Analysis of Hermite-Hadamard Type Integral Inequalities via Generalized Exponential Type m-Convex Functions
Tariq, Muhammad
Ahmad, Hijaz
Cesarano, Clemente
Abu-Zinadah, Hanaa
Abouelregal, Ahmed E.
Askar, Sameh
[J]. MATHEMATICS, 2022, 10 (01)
[34] The most important inequalities of m-convex functions
Pavic, Zlatko
Ardic, Merve Avci
[J]. TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (03) : 625 - 635
[35] Generalized Integral Inequalities for m-Convex Functions
Ekinci, Alper
Ozdemir, M. Emin
[J]. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
[36] Hermite-Hadamard-type inequalities for functions whose derivatives are -convex via fractional integrals
Kwun, Young Chel
Saleem, Muhammad Shoaib
Ghafoor, Mamoona
Nazeer, Waqas
Kang, Shin Min
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[37] IMPROVED HERMITE HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS
Sanli, Zeynep
Koroglu, Tuncay
Kunt, Mehmet
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1556 - 1575
[38] On new inequalities of Hermite-Hadamard-Fejer type for convex functions via fractional integrals
Set, Erhan
Iscan, Imdat
Sarikaya, M. Zeki
Ozdemir, M. Emin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 875 - 881
[39] CERTAIN NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
Set, Erhan
Ozdemir, M. Emin
Korkut, Necla
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 61 - 69
[40] HERMITE-HADAMARD TYPE INEQUALITIES FOR SOME CONVEX DOMINATED FUNCTIONS VIA FRACTIONAL INTEGRALS
Kavurmaci-Onalan, Havva
[J]. MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) : 287 - 297

← 1 2 3 4 5 →