Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals

In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. Fina...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 10; pp. 10679 - 10695
Main Authors Sun, Wenbing, Xu, Rui
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
generalized harmonically convex function
hermite-hadamard type inequality
local fractional integral
yang's fractal sets
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Summary:In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and generalized harmonically convex are obtained. Finally, we construct some generalized special means to explain the applications of these inequalities.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021620