New Hermite-Jensen-Mercer-type inequalities via k-fractional integrals

被引：45

作者：

Butt, Saad Ihsan ^{[1
]}

Umar, Muhammad ^{[1
]}

Rashid, Saima ^{[2
]}

Akdemir, Ahmet Ocak ^{[3
]}

Chu, Yu-Ming ^{[4
,5
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Lahore, Pakistan

[2] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

[3] AgriIbrahim Cecen Univ, Fac Sci & Letters, Dept Math, Agri, Turkey

[4] Huzhou Univ, Dept Math, Huzhou, Peoples R China

[5] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Peoples R China

来源：

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

基金：

中国国家自然科学基金;

关键词：

Convex functions; Hermite-Hadamard inequality; Jensen inequality; Jensen-Mercer inequality; New conformable k-fractional integrals; 26E60; HADAMARD TYPE INEQUALITIES; CONVEX-FUNCTIONS; BOUNDS; REFINEMENTS; CALCULUS; SOLITONS; VARIANT;

D O I：

10.1186/s13662-020-03093-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the article, we establish serval novel Hermite-Jensen-Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches. Our obtained results are the generalizations, improvements, and extensions of some previously known results, and our ideas and methods may lead to a lot of follow-up research.

引用

页数：24

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