Hermite-Jensen-Mercer type inequalities for conformable integrals and related results

被引：24

作者：

Butt, Saad Ihsan ^{[1
]}

Nadeem, Mehroz ^{[1
]}

Qaisar, Shahid ^{[1
]}

Akdemir, Ahmet Ocak ^{[2
]}

Abdeljawad, Thabet ^{[3
,4
,5
]}

机构：

[1] Comsat Univ Islamabad, Lahore Campus, Lahore, Pakistan

[2] Ibrahim Cecen Univ Agri, Fac Sci & Letters, Dept Math, Agri, Turkey

[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Convex functions; Hermite-Hadamard inequalities; Jensen-Mercer inequality; Conformable integrals; FRACTIONAL INTEGRALS;

D O I：

10.1186/s13662-020-02968-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, certain Hermite-Jensen-Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite-Hadamard-Mercer type inequalities for a differentiable function f whose derivatives in the absolute values are convex.

引用

页数：24

共 33 条

[1] On conformable fractional calculus [J].

Abdeljawad, Thabet .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 279 :57-66

[2]

Ali MM, 2019, J INEQUAL SPEC FUNCT, V10, P60

[3]

Aliev FA, 2019, APPL COMPUT MATH-BAK, V18, P316

[4]

Anjidani E, 2018, MEDITERR J MATH, V18, P1660

[5] REVERSE JENSEN-MERCER TYPE OPERATOR INEQUALITIES [J].

Anjidani, Ehsan ;

Chancalvaiy, Mohammad Reza .

ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2016, 31 :87-99

[6]

[Anonymous], 1993, An Introduction to the Fractional Calculus and Fractional Differential Equations

[7]

[Anonymous], 2020, MATHEMATICS BASEL, DOI DOI 10.3390/math8020222

[8]

Farid G., 2019, Open J. Math. Sci., V3, P210, DOI 10.30538/oms2019.0064

[9]

Gorenflo, 1997, FRACTAL FRACT, P277, DOI DOI 10.1007/978-3-7091-2664-6_6

[10] New refinements for integral and sum forms of Holder inequality [J].

Iscan, Imdat .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)

← 1 2 3 4 →