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-  2015 

两个新的积分不等式和一个算子范数关系式
Two new integral inequalities and a relationship among operator norms

DOI: 10.7523/j.issn.2095-6134.2015.03.016

Keywords: 积分不等式,权函数,拉普拉斯积分变换,最佳常数因子,算子范数
integral inequality
,weight function,Laplace's integral transform,the best constant factor,operator norm

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Abstract:

摘要 利用权函数方法和拉普拉斯积分变换, 给出2个新的积分不等式和它们的等价式, 证明它们的常数因子是最佳的. 作为应用, 一方面通过选取一些特殊参数值, 获得一些有意义的结果;另一方面定义3个积分算子, 建立它们之间的一个范数关系式.

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