Time scale Hardy-type inequalities with ‘broken’ exponent p

Time scale Hardy-type inequalities with ‘broken’ exponent p

In this paper, some new Hardy-type inequalities involving ‘broken’ exponents are derived on arbitrary time scales. Our approach uses both convexity and superquadracity arguments, and the results obtained generalize, complement and provide refinements of some known results in literature.

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Veröffentlicht in:Journal of inequalities and applications 2015-01, Vol.2015 (1), p.1-14, Article 17
Hauptverfasser: Oguntuase, James A, Fabelurin, Olanrewaju O, Adeagbo-Sheikh, Abdulaziz G, Persson, Lars-Erik
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Complement
Convexity
Exponents
Inequalities
Matematik
Mathematics
Mathematics and natural science: 400
Mathematics and Statistics
Time
VDP
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Zusammenfassung:In this paper, some new Hardy-type inequalities involving ‘broken’ exponents are derived on arbitrary time scales. Our approach uses both convexity and superquadracity arguments, and the results obtained generalize, complement and provide refinements of some known results in literature.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-014-0533-z