Ostrowski’s Type Inequalities for Generalized(h,m)−Preinvex Functions with Its Applications  

有关广义(h,m)-预不变凸函数的Ostrowski型不等式及其应用

作　　者：LI Ran LIAN Tie-yan 李然;连铁艳

机构地区：[1]School of Mathematics and Data Science,Shaanxi University of Science&Technology,Xi’an 710021,China

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第3期270-287,共18页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11801342);the Natural Science Foundation of Shaanxi Province(Grant No.2023-JC-YB-043).

摘　　要：A new concept generalized(h,m)−preinvex function on Yang’s fractal sets is proposed.Some Ostrowski’s type inequalities with two parameters for generalized(h,m)−preinvex function are established,where three local fractional inequalities involving generalized midpoint type,trapezoid type and Simpson type are derived as consequences.Furthermore,as some applications,special means inequalities and numerical quadratures for local fractional integrals are discussed.

关 键 词：Generalized(h m)−preinvex function Hermite−Hadamard inequality Ostrowski inequality Simpson inequality 

分 类 号：O178[理学—数学]