A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function

A Hilbert-type integral inequality in the whole plane related to the kernel of exponent function

Abstract By using real analysis and weight functions, we obtain a few equivalent statements of a Hilbert-type integral inequality in the whole plane related to the kernel of exponent function with intermediate variables. The constant factor related to the gamma function is proved to be the best poss...

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Bibliographic Details
Main Authors: Yanru Zhong, Meifa Huang, Bicheng Yang
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Journal of Inequalities and Applications
Subjects:
Hilbert-type integral inequality
Weight function
Intermediate variable
Equivalent statement
Operator
Gamma function
Online Access:http://link.springer.com/article/10.1186/s13660-018-1834-4

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