New fractional inequalities of midpoint type via s-convexity and their application

被引：13

作者：

Almutairi, Ohud ^{[1
]}

Kilicman, Adem ^{[2
,3
]}

机构：

[1] Univ Hafr Al Batin, Dept Math, Hafar al Batin, Saudi Arabia

[2] Univ Putra Malaysia, Dept Math, Serdang, Malaysia

[3] Univ Putra Malaysia, Inst Math Res, Serdang, Malaysia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期

关键词：

Convex functions; Hermite-Hadamard inequality; Holder's inequality; Special means; Midpoint formula; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.1186/s13660-019-2215-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we introduced new integral inequalities of Hermite-Hadamard type via s-convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the special means of real numbers. We give the error estimates for the midpoint formula.

引用

页数：19

共 50 条

[31] Some parameterized Simpson-, midpoint-and trapezoid-type inequalities for generalized fractional integrals
Budak, Huseyin
Yildirim, Seda Kilinc
Sarikaya, Mehmet Zeki
Yildirim, Huseyin
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
[32] Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions
Kara, Hasan
Erden, Samet
Budak, Huseyin
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (02): : 85 - 107
[33] Hermite-Hadamard type inequalities for fractional integrals via Green's function
Khan, Muhammad Adil
Iqbal, Arshad
Suleman, Muhammad
Chu, Yu-Ming
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[34] Some new inequalities of Hermite-Hadamard type via Katugampola fractional integral
Butt, Saad Ihsan
Bayraktar, Bahtiyar
Valdes, Juan E. Napoles
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2023, 55 (7-8): : 269 - 290
[35] NEW BOUNDS FOR HERMITE-HADAMARD'S TRAPEZOID AND MID-POINT TYPE INEQUALITIES VIA FRACTIONAL INTEGRALS
Delavar, M. Rostamian
MISKOLC MATHEMATICAL NOTES, 2019, 20 (02) : 849 - 861
[36] SOME NEW INEQUALITIES ON GENERALIZATION OF HERMITE-HADAMARD AND BULLEN TYPE INEQUALITIES, APPLICATIONS TO TRAPEZOIDAL AND MIDPOINT FORMULA
Iscan, Imdat
Toplu, Tekin
Yetgin, Fatih
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (04): : 647 - 657
[37] New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator
Demir, Izzettin
Tunc, Tuba
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01)
[38] FRACTIONAL OSTROWSKI TYPE INEQUALITIES VIA (s, r)-CONVEX FUNCTION
Hassan, Ali
Khan, Asif Raza
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (4B): : 1031 - 1047
[39] Multidimensional hardy type inequalities via convexity
Oguntuase, James A.
Persson, Lars-Erik
Cizmesija, Aleksandra
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 77 (02) : 245 - 260
[40] On new Milne-type inequalities for fractional integrals
Budak, Huseyin
Kosem, Pinar
Kara, Hasan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)

← 1 2 3 4 5 →