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A Hilbert-type operator with a symmetric homogeneous kernel of two parameters and its applications
- Authors
- Seo, Keomkyo
- Issue Date
- Sep-2015
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Keywords
- Hilbert-type operator; Hilbert-type inequality; beta function; kernel; norm
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2015, no.1, pp 14 - 14
- Pages
- 1
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Volume
- 2015
- Number
- 1
- Start Page
- 14
- End Page
- 14
- ISSN
- 1025-5834
1029-242X
- Abstract
- We introduce a general homogeneous kernel whose degree is given by two parameters to establish the equivalent inequalities with the norm of a new Hilbert-type operator. As applications, we provide new extended Hilbert-type inequalities with the best possible constant factors.
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