Hardy-type inequalities in fractional h-discrete calculus

The first power weighted version of Hardy’s inequality can be rewritten as [Formula: see text] where the constant [Formula: see text] is sharp. This inequality holds in the reversed direction when [Formula: see text] . In this paper we prove and discuss some discrete analogues of Hardy-type inequali...

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Detalles Bibliográficos
Autores principales: Persson, Lars-Erik, Oinarov, Ryskul, Shaimardan, Serikbol
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5882665/
https://www.ncbi.nlm.nih.gov/pubmed/29628749
http://dx.doi.org/10.1186/s13660-018-1662-6
Descripción
Sumario:The first power weighted version of Hardy’s inequality can be rewritten as [Formula: see text] where the constant [Formula: see text] is sharp. This inequality holds in the reversed direction when [Formula: see text] . In this paper we prove and discuss some discrete analogues of Hardy-type inequalities in fractional h-discrete calculus. Moreover, we prove that the corresponding constants are sharp.

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