一类多元Opial型积分不等式的统一推导  

UNIFIED DERIVATION FOR A CLASS OF OPIAL-TYPE INTEGRAL INEQUALITIES IN SEVERAL VARIABLES

作　　者：杨恩浩[1] 

机构地区：[1]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1-8,共8页Journal of Jinan University(Natural Science & Medicine Edition)

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.

关 键 词：OPIAL型 积分不等式 多元实函数 

分 类 号：O178[理学—数学]