Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function

被引：12
|
作者：
Baleanu, Dumitru [1 ,2 ,3 ]
Samraiz, Muhammad [4 ]
Perveen, Zahida [4 ]
Iqbal, Sajid [5 ]
Nisar, Kottakkaran Sooppy [6 ]
Rahman, Gauhar [7 ]
机构：
[1] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[2] Inst Space Sci, Magurele 077125, Romania
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40250, Taiwan
[4] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
[5] Riphah Int Univ, Dept Math, Faisalabad Campus,Satyana Rd, Faisalabad 38000, Pakistan
[6] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia
[7] Hazara Univ Mansehra, Dept Math & Stat 5, Dhodial, Pakistan
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 05期
关键词：
Hermite-Hadamard-Fejer inequalities; convex function; generalized fractional integral; mid-point inequality; Riemann-Liouville; CONVEX-FUNCTIONS;
D O I：
10.3934/math.2021253
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we at first develop a generalized integral identity by associating RiemannLiouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems.
引用
收藏
页码：4280 / 4295
页数：16
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