A new reverse half-discrete Hilbert-type inequality with one partial sum involving one derivative function of higher order
Abstract: In this article, a new reverse half-discrete Hilbert-type inequality with one partial sum involving one derivative function of higher order is obtained, by using the weight functions, the mid-value theorem, and the techniques of real analysis. A few equivalent statements of the best possible constant factor related to several parameters are considered. As applications, the equivalent forms and some particular inequalities are provided.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A new reverse half-discrete Hilbert-type inequality with one partial sum involving one derivative function of higher order ; volume:21 ; number:1 ; year:2023 ; extent:12
Open mathematics ; 21, Heft 1 (2023) (gesamt 12)
- Creator
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Liao, Jianquan
Yang, Bicheng
- DOI
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10.1515/math-2023-0139
- URN
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urn:nbn:de:101:1-2023112213265263817242
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:20 AM CEST
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Associated
- Liao, Jianquan
- Yang, Bicheng
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