Title
A Hilbert-Type Integral Inequality In The Whole Plane Related To The Arc Tangent Function
Abstract
In this work we establish a few equivalent statements of a Hilbert-type integral inequality in the whole plane related to the kernel of the arc tangent function. We prove that the constant factor, which is associated with the cosine function, is optimal. Some special cases as well as some operator expressions are also presented.
Year
DOI
Venue
2021
10.3390/sym13020351
SYMMETRY-BASEL
Keywords
DocType
Volume
Hilbert-type integral inequality, weight function, equivalent statement, operator, cosine function
Journal
13
Issue
Citations 
PageRank 
2
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Michael Th. Rassias101.01
Bicheng Yang275.23
andrei raigorodskii323.76