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.
出处
《暨南大学学报（自然科学与医学版）》
CAS
CSCD
1991年第1期17-28,共12页
Journal of Jinan University(Natural Science & Medicine Edition)
关键词
OPIAL型
积分不等式
离散不等式
Nonlinear
Opial-type inequalities
Integral inequalities
Discrete inequalities
