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

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<abstract><p>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.</p></abstract>
American Institute of Mathematical Sciences (AIMS)
Title: Some new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals
Description:
<abstract><p>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.
</p></abstract>.

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