期刊
QUAESTIONES MATHEMATICAE
卷 42, 期 9, 页码 1159-1183出版社
NATL INQUIRY SERVICES CENTRE PTY LTD
DOI: 10.2989/16073606.2018.1509242
关键词
Hermite-Hadamard inequality; Ostrowski inequality; Simpson inequality; generalized harmonically convex function; fractal set; local fractional integral
类别
资金
- National Natural Science Foundations of China [61672356]
Based on the theory of local fractional calculus and generalized harmonically convex function on fractal sets, the author establishes a general identity involving local fractional integrals. Using this identity, some inequalities on generalization of Hermite-Hadamard, Ostrowski and Simpson type inequalities for functions whose absolute values of derivatives are generalized harmonically convex function involving local fractional integrals are obtained. Finally, some applications of these inequalities for ?-type special means are given.
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