摘要
从考察被积函数的结构特点出发对一类多元Opial型积分不等式给出统一的推导,并对低维情形导出一系列重要的推论,其中包括对Opial、华罗庚及Pachpatte的有关已知不等式的新推广。
In the present paper, we developed an unified method for the establishment of a class of Opial-type integral inequalities in n independent variables. Our main results are different from the only known n-variablc Opial-type integral inequality recently proved by B.G.Pachpatte.Many interesting corollaries for some lower-dimensional cases are also discussed. The corollaries for the one-dimensional case given herein generalise some known Opial inequalities obtained by Opial Z. Hua L K, and Pachpatte B G. An Opial integral inequality in two independent variables due to Pachpatte is also extended by our Corollary 4.
出处
《暨南大学学报（自然科学与医学版）》
CAS
CSCD
1991年第1期1-8,共8页
Journal of Jinan University(Natural Science & Medicine Edition)
关键词
OPIAL型
积分不等式
多元实函数
Real-valued function in several variables
Absolutc continuity
Opial-type
Integral inequalities
