非线性Opial型积分不等式  

NONLINEAR OPIAL-TYPE INTEGRAL INEQUALITIES

作　　者：李举达[1] 苏细强 

机构地区：[1]韶关大学经管系 [2]暨南大学数学系

出　　处：《暨南大学学报（自然科学与医学版）》1991年第1期17-28,共12页Journal of Jinan University(Natural Science & Medicine Edition)

摘　　要：研究若干形式较一般的Opial型积分不等式,它们包含了Beesack P R和DasK M,Yang G S,Pachpatte B G等人的结果,同时还将其推广到离散情形,给出相应的离散不等式。最后举出一个反例,说明Lin C T和Yang G S的一个定理是错误的。In this paper some generalized Opial-type integral inequalities are obtained, which contain a lot of known results due to Beesack, Das, Pachpatte, and Yang. Some other new discrete Opial-type inequalities have also been discussed. In some special cases they are similar to known results of Wong and Lee. A counterexample is given in the last section to disproved a theorem of Lin and Yang.

关 键 词：OPIAL型 积分不等式 离散不等式 

分 类 号：O178[理学—数学]