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A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions
- Source :
- Mathematics, Vol 8, Iss 6, p 894 (2020)
- Publication Year :
- 2020
- Publisher :
- MDPI AG, 2020.
-
Abstract
- In this paper, we provide a new extension of Hardy-Hilbert’s inequality with the kernel consisting of double power functions and derive its equivalent forms. The obtained inequalities are then further discussed regarding the equivalent statements of the best possible constant factor related to several parameters. The operator expressions of the extended Hardy-Hilbert’s inequality are also considered.
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 6
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.2cee0aaf4cc84040bf230576a3502f5a
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math8060894