浙江大学学报（理学版）2017，Vol.44Issue(1)：47-52,6.DOI:10.3785/j.issn.1008-9497.2017.01.007
分形集上广义凸函数的新 Hermite-Hadamard型不等式及其应用
New inequalities of Hermite-Hadamard type for generalized convex functions on fractal sets and its applications
摘要
Abstract
On the basis of local fractional calculus theory ,inequalities of Hermite‐Hadamard type are extended fol‐lowing the definition of generalized convex function on fractal sets .Some new Hadamard‐type inequalities involving local fractional integrals on fractal sets Rα(0< α≤1) are established .Finally ,some applications of the new inequali‐ties in special means and numerical integration are provided .关键词
Hadamard型不等式/广义凸函数/局部分数积分/局部分数阶导数/分形空间Key words
Hadamard-type inequalities/generalized convex function/local fractional integral/local fractional derivative/fractal space分类
数理科学引用本文复制引用
孙文兵,刘琼..分形集上广义凸函数的新 Hermite-Hadamard型不等式及其应用[J].浙江大学学报（理学版）,2017,44(1):47-52,6.基金项目
邵阳市科技计划项目（2015NC43）；湖南省自然科学基金资助项目（12JJ3008）． （）
