On Hardy-type integral inequalities in the whole plane related to the extended Hurwitz-zeta function

On Hardy-type integral inequalities in the whole plane related to the extended Hurwitz-zeta function

Abstract Using weight functions, we establish a few equivalent statements of two kinds of Hardy-type integral inequalities with nonhomogeneous kernel in the whole plane. The constant factors related to the extended Hurwitz-zeta function are proved to be the best possible. In the form of applications...

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Bibliographic Details
Main Authors: Michael Th. Rassias, Bicheng Yang, Andrei Raigorodskii
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Journal of Inequalities and Applications
Subjects:
Hardy-type integral inequality
Weight function
Equivalent form
Operator
Hurwitz-zeta function
Online Access:http://link.springer.com/article/10.1186/s13660-020-02365-1

Internet

http://link.springer.com/article/10.1186/s13660-020-02365-1

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