Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane
Joint Authors
Yang, Bicheng
Xin, Dongmei
Wang, Aizhen
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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 to 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.
American Psychological Association (APA)
Xin, Dongmei& Yang, Bicheng& Wang, Aizhen. 2018. Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1185950
Modern Language Association (MLA)
Xin, Dongmei…[et al.]. Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane. Journal of Function Spaces No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1185950
American Medical Association (AMA)
Xin, Dongmei& Yang, Bicheng& Wang, Aizhen. Equivalent Property of a Hilbert-Type Integral Inequality Related to the Beta Function in the Whole Plane. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1185950
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185950
