Some modifications in conformable fractional integral inequalities

被引：23
作者：
Baleanu, Dumitru [1 ,2 ,3 ]
Mohammed, Pshtiwan Othman [4 ]
Vivas-Cortez, Miguel [5 ]
Rangel-Oliveros, Yenny [5 ]
机构：
[1] Inst Space Sci, MG-23, R-76900 Magurele, Romania
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan
[4] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani, Kurdistan Regio, Iraq
[5] Pontificia Univ Catolica Ecuador, Fac Ciencias Exactas & Nat, Escuela Ciencias Fis & Matemat, Quito, Ecuador
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Integral inequality; Conformable operator; Convex functions;
D O I：
10.1186/s13662-020-02837-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The prevalence of the use of integral inequalities has dramatically influenced the evolution of mathematical analysis. The use of these useful tools leads to faster advances in the presentation of fractional calculus. This article investigates the Hermite-Hadamard integral inequalities via the notion of F-convexity. After that, we introduce the notion of F-mu-convexity in the context of conformable operators. In view of this, we establish some Hermite-Hadamard integral inequalities (both trapezoidal and midpoint types) and some special case of those inequalities as well. Finally, we present some examples on special means of real numbers. Furthermore, we offer three plot illustrations to clarify the results.
引用
收藏
页数：25
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