New results on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function

被引:3
作者
Nasir, Jamshed [1 ]
Qaisar, Shahid [2 ]
Qayyum, Ather [3 ]
Budak, Huseyin [4 ]
机构
[1] Virtual Univ Pakistan, Dept Math, Lahore 54000, Pakistan
[2] COMSATS Univ Islamabad, Dept Math, Sahiwal Campus, Sahiwal 57000, Pakistan
[3] Inst Southern Punjab Multan, Dept Math, Multan, Pakistan
[4] Duzce Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye
关键词
Convex function; s-Convex function; Caputo-Fabrizio operator; Hermite-Hadamard inequality; Ho?lder?s inequality; Power mean inequality; Young?s inequality;
D O I
10.2298/FIL2315943N
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this article is to construct on Hermite-Hadamard type inequalities via Caputo-Fabrizio fractional integral for s-convex function. The results are applied to fractional variations of Hermite- Hadamard type inequalities for differentiable mapping phi with s-convex absolute value derivatives. The findings also provide a new lemma for phi ' and new limits via Caputo-Fabrizio fractional operator by using the well-known Ho center dot lder's integral inequalities. Moreover some new bounds for applications of matrix and special means of different positive real numbers are also discussed.
引用
收藏
页码:4943 / 4957
页数:15
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