New Results on Hermite-Hadamard Type Inequalities Via Caputo-Fabrizio Fractional Integral for S-Convex Function
Filomat(2023)
摘要
The purpose of this article is to construction 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 ? with s-convex absolute value derivatives. The findings also provide a new lemma for ?? and new limits via Caputo-Fabrizio fractional operator by using the well-known H?lder?s integral inequalities. Moreover some new bounds for applications of matrix and special means of different positive real numbers are also discussed.
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关键词
Convex function,s-Convex function,Caputo-Fabrizio operator,Hermite-Hadamard inequality,Ho?lder?s inequality,Power mean inequality,Young?s inequality
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