| 一类多元Opial型积分不等式的统一推导 |
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| 引用本文： | 杨恩浩. 一类多元Opial型积分不等式的统一推导[J]. 暨南大学学报(自然科学与医学版), 1991, 12(1): 1-8 |
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| 作者姓名： | 杨恩浩 |
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| 作者单位： | 暨南大学数学系 |
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| 摘 要： |
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| 关 键 词： | Opial型 积分不等式 多元实函数 |
UNIFIED DERIVATION FOR A CLASS OF OPIAL-TYPE INTEGRAL INEQUALITIES IN SEVERAL VARIABLES |
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| Yang Enhao. UNIFIED DERIVATION FOR A CLASS OF OPIAL-TYPE INTEGRAL INEQUALITIES IN SEVERAL VARIABLES[J]. Journal of Jinan University(Natural Science & Medicine Edition), 1991, 12(1): 1-8 |
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| Authors: | Yang Enhao |
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| Affiliation: | Dept of Math |
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| Abstract: | 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. |
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| Keywords: | Real-valued function in several variables Absolutc continuity Opial-type Integral inequalities |
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