收稿日期: 2014-03-24
修回日期: 2014-05-22
网络出版日期: 2015-05-15
基金资助
Supported by National Natural Science Foundation of China (11171280) and Scientific Support Project of Hunan Education Department(10C1186)
Two new integral inequalities and a relationship among operator norms
Received date: 2014-03-24
Revised date: 2014-05-22
Online published: 2015-05-15
Supported by
Supported by National Natural Science Foundation of China (11171280) and Scientific Support Project of Hunan Education Department(10C1186)
刘琼 . 两个新的积分不等式和一个算子范数关系式[J]. 中国科学院大学学报, 2015 , 32(3) : 398 -403 . DOI: 10.7523/j.issn.2095-6134.2015.03.016
By means of weight function and Laplace's integral transform, two new integral inequalities and their equivalent forms are given, and their constant factors are proved being the best possible. Some meaningful results are obtained by selecting the special parameter values. Three integral operators are defined, and a relation among their norms is established.
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