一类新的含反常积分的非线性不等式  

A new class of nonlinear inequalities involving improper integrals

作　　者：杨恩浩[1] 

机构地区：[1]暨南大学数学系,广东广州510632

出　　处：《暨南大学学报（自然科学与医学版）》2005年第3期273-278,共6页Journal of Jinan University(Natural Science & Medicine Edition)

基　　金：广东省自然科学基金(940651)资助项目

摘　　要：　对满足一类新的含反常积分非线性不等式的有界函数建立了先验逐点估计.这类含反常积分的非线性不等式与笔者以前证明的某些非线性积分不等式密切相关.A priori point - wise estimations are established for bounded functions satisfying a new class of nonlinear inequalities involving improper integrals. These new improper integral inequalities are closely related with some integral inequalities proved by the present author in an earlier paper.

关 键 词：积分不等式 非线性 反常积分 

分 类 号：O178[理学—数学]