On Hardy-type integral inequalities with the gamma function

On Hardy-type integral inequalities with the gamma function

Abstract By means of real analysis and weight functions, we obtain a few equivalent conditions of two kinds of Hardy-type integral inequalities with the non-homogeneous kernel and parameters. The constant factors related to the gamma function are proved to be the best possible. We also consider the...

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Bibliographic Details
Main Authors: Jianquan Liao, Bicheng Yang
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Journal of Inequalities and Applications
Subjects:
Hardy-type integral inequality
weight function
equivalent form
operator
norm
Online Access:http://link.springer.com/article/10.1186/s13660-017-1404-1

Internet

http://link.springer.com/article/10.1186/s13660-017-1404-1

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