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一个具有两对共轭指数的Hilbert型积分不等式的新推广

New Extension of Hilbert-type Integral Inequality with Two Pairs of Conjugate Exponents

中文摘要英文摘要

通过引入两对共轭指数(p,q)和 (r,s),给出了一个Hilbert型积分不等式以具有最佳常数因子的新推广。作为应用,建立了它的逆向积分不等式和它的等价形式,并考虑了一些特殊结果.

In the paper, by introducing two pairs of conjugate exponents(p,q) and (r,s), we establish a new generalizations of the Hilbert-type ineqaulity with a best constant. As application, the reverse and its equivalent form are considered.

陈广生

数学

数学分析Hilbert 型积分不等式共轭指数Holder不等式等价形式

mathematical analysisHilbert's type integral inequalityconjugate exponentHolder inequalityequivalent form

陈广生.一个具有两对共轭指数的Hilbert型积分不等式的新推广[EB/OL].(2010-12-10)[2025-08-21].http://www.paper.edu.cn/releasepaper/content/201012-318.点此复制

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