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Eurasian Mathematical Journal, 2019, Volume 10, Number 1, Pages 52–58
DOI: https://doi.org/10.32523/2077-9879-2019-10-1-52-58 (Mi emj322) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Hardy type inequality with sharp constant for $0 < p < 1$

A. Senouciab, N. Azzouzacb

a Department of Mathematics, Ibn Khaldoun University, Tiaret, Algeria
b Laboratoire LIM
c Department of Technologies, University of Sidi Bel Abbes - Algeria
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DOI: https://doi.org/10.32523/2077-9879-2019-10-1-52-58
Abstract: A power-weighted integral inequality with sharp constant for $0 < p < 1$ was established by V.I. Burenkov for the Hardy operator $(Hf)(x)=\frac1x\int_0^xf(t)\,dt$ for non-negative non-increasing functions $f$. In this work we consider a more general class of functions $f$ and prove a new Hardy-type inequality with sharp constant for functions of this class.
Keywords and phrases: Hardy operator, Hardy-type inequality, sharp constant.
Received: 25.11.2017
Revised: 15.04.2019
Bibliographic databases:
Document Type: Article
MSC: 35J20, 35J25
Language: English
Citation: A. Senouci, N. Azzouz, “Hardy type inequality with sharp constant for $0 < p < 1$”, Eurasian Math. J., 10:1 (2019), 52–58
Citation in format AMSBIB
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\by A.~Senouci, N.~Azzouz
\paper Hardy type inequality with sharp constant for $0 < p < 1$
\jour Eurasian Math. J.
\yr 2019
\vol 10
\issue 1
\pages 52--58
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\crossref{https://doi.org/10.32523/2077-9879-2019-10-1-52-58}
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