Generalizations of Hölder inequality and some related results on time scales: Doc 1089

Generalizations of Hölder inequality and some related results on time scales: Doc 1089

In this paper, we establish some generalizations and refinements of the Hölder inequality on time scales via the diamond-[alpha] dynamic integral, which is defined as a linear combination of the delta and nabla integrals. Some related inequalities are also considered. MSC: 26D15.[PUBLICATION ABSTRAC...

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Veröffentlicht in:Journal of inequalities and applications 2014-05, Vol.2014, p.1
Hauptverfasser: Chen, Guang-sheng, Huang, Feng-li, Liao, Li-fang
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung:In this paper, we establish some generalizations and refinements of the Hölder inequality on time scales via the diamond-[alpha] dynamic integral, which is defined as a linear combination of the delta and nabla integrals. Some related inequalities are also considered. MSC: 26D15.[PUBLICATION ABSTRACT]
ISSN:1025-5834
1029-242X
DOI:10.1186/1029-242X-2014-207