Journal of University of Chinese Academy of Sciences >
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)
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.
LIU Qiong . Two new integral inequalities and a relationship among operator norms[J]. Journal of University of Chinese Academy of Sciences, 2015 , 32(3) : 398 -403 . DOI: 10.7523/j.issn.2095-6134.2015.03.016
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