摘要
通过引入权函数,应用实分析的方法,建立一个具有3个独立参数及两对共轭指数的实齐次核的Hilbert型积分不等式,并研究了其等价形式、逆式及一些特殊结果,所给的不等式是一个零次齐次核的Hilbert型积分不等式的最佳推广.
Introducing the weight function and using the way of real analysis, the author gave a new Hilberttype integral inequality with the homogeneous kernel of real number-degree with three independent parameters and two pairs of conjugate exponents, which is a best extension of a Hilbert-type integral inequality with the homogeneous kernel of O-degree. The equivalent form, the reverses and some particular results were studied.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2009年第5期887-892,共6页
Journal of Jilin University:Science Edition
基金
广东省自然科学基金(批准号:7004344)
广东省高校自然科学基金重点研究项目(批准号:05Z026)
