Title | ||
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A Hilbert-Type Integral Inequality In The Whole Plane Related To The Arc Tangent Function |
Abstract | ||
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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 |
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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. Rassias | 1 | 0 | 1.01 |
Bicheng Yang | 2 | 7 | 5.23 |
andrei raigorodskii | 3 | 2 | 3.76 |