A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function

Abstract In this work, by the introduction of some parameters, a new half-discrete kernel function in the whole plane is defined, which involves both the homogeneous and the nonhomogeneous cases. By employing some techniques of real analysis, especially the method of a weight function, a new half-di...

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Bibliographic Details
Main Author: Minghui You
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-023-02951-z