Maclaurin-Type Integral Inequalities for GA-Convex Functions Involving Confluent Hypergeometric Function via Hadamard Fractional Integrals

被引：1

作者：

Chiheb, Tarek ^{[1
]}

Meftah, Badreddine ^{[1
]}

Moumen, Abdelkader ^{[2
]}

Bouye, Mohamed ^{[3
]}

机构：

[1] Univ 8 May 1945 Guelma, Dept Math, Lab Anal & Control Differential Equat ACED, Facuty MISM, POB 401, Guelma 24000, Algeria

[2] Univ Hail, Fac Sci, Dept Math, Hail 55473, Saudi Arabia

[3] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 12期

关键词：

Hadamard fractional integrals; confluent hypergeometric function; incomplete confluent hypergeometric function; Maclaurin-type integral inequalities; geometrically arithmetically convex functions;

D O I：

10.3390/fractalfract7120860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, by using a new identity, we establish some new Maclaurin-type inequalities for functions whose modulus of the first derivatives are GA-convex functions via Hadamard fractional integrals.

引用

页数：18

共 50 条

[1] Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions
Merad, Meriem
Meftah, Badreddine
Moumen, Abdelkader
Bouye, Mohamed
[J]. FRACTAL AND FRACTIONAL, 2023, 7 (12)
[2] Integral inequalities of the Hermite-Hadamard type for (α, m)-GA-convex functions
Shuang, Ye
Qi, Feng
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1854 - 1860
[3] Integral inequalities of Hermite-Hadamard type for (α, m)-GA-convex functions
Ji, Ai-Ping
Zhang, Tian-Yu
Qi, Feng
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (02) : 255 - 265
[4] Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively P-functions
Peng, Yu
Du, Tingsong
[J]. FILOMAT, 2023, 37 (28) : 9497 - 9509
[5] Conformable fractional integral inequalities for GG- and GA-convex functions
Khurshid, Yousaf
Khan, Muhammad Adil
Chu, Yu-Ming
[J]. AIMS MATHEMATICS, 2020, 5 (05): : 5012 - 5030
[6] ON HADAMARD TYPE INEQUALITIES FOR m-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
Farid, G.
Rehman, A. Ur
Tariq, B.
Waheed, A.
[J]. JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (04): : 150 - 167
[7] On the Hadamard's type Inequalities for Convex Functions via Conformable Fractional Integrals
Yildirim, M. E.
Akkurt, A.
Yildirim, H.
[J]. JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (03): : 1 - 10
[8] New Hermite-Hadamard-Fejer type inequalities for GA-convex functions
Maden, Selahattin
Turhan, Sercan
Iscan, Imdat
[J]. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
[9] Hermite–Hadamard type inequalities for F-convex function involving fractional integrals
Pshtiwan Othman Mohammed
Mehmet Zeki Sarikaya
[J]. Journal of Inequalities and Applications, 2018
[10] Hadamard Type Inequalities for m-convex and (α, m)-convex Functions via Fractional Integrals
Ardic, Merve Avci
Ekinci, Alper
Akdemir, Ahmet Ocak
Ozdemir, M. Emin
[J]. 6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017), 2018, 1926

← 1 2 3 4 5 →