Open AccessSome new Hermite-Hadamard type inequalities for generalized harmonically convex functions involving local fractional integrals
Author(s) -
Wenbing Sun,
Rui Xu
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2021620
Subject(s) - mathematics , hadamard transform , convex function , monotonic function , type (biology) , pure mathematics , hermite polynomials , identity (music) , function (biology) , regular polygon , mathematical analysis , geometry , physics , ecology , evolutionary biology , acoustics , biology
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.