Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane

Yang, Bicheng and Xin, Dongmei and Wang, Aizhen (2020) Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane. In: Recent Studies in Mathematics and Computer Science Vol. 2. B P International, pp. 1-14. ISBN 978-93-90149-09-4

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Abstract

By means of the technique of real analysis and the weight functions, a few equivalent statements of
a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained.
The constant factor related the beta function is proved to be the best possible. As applications,
the case of the homogeneous kernel, the operator expressions and a few corollaries are considered.

Item Type: Book Section
Subjects: Open Research Librarians > Medical Science
Depositing User: Unnamed user with email support@open.researchlibrarians.com
Date Deposited: 20 Nov 2023 05:16
Last Modified: 20 Nov 2023 05:16
URI: http://stm.e4journal.com/id/eprint/2143

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