Some New Refined General Boas-Type Inequalities

Some New Refined General Boas-Type Inequalities

We state and prove a new refined Boas-type inequality in a setting with a topological space and general σ-finite and finite Borel measures. As a consequence of the result obtained, we derive a new class of Hardy- and Pólya-Knopp-type inequalities related to balls in ℝn and prove that constant factor...

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Main Authors: A. Čižmešija, J. Pečarić, D. Pokaz
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/659761
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spelling doaj-0c7dcb145e76400da65a0eb4f966263b2020-11-24T21:54:15ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/659761659761Some New Refined General Boas-Type InequalitiesA. Čižmešija0J. Pečarić1D. Pokaz2Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, CroatiaFaculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, CroatiaFaculty of Civil Engineering, University of Zagreb, Fra Andrije Kačića-Miošića 26, 10000 Zagreb, CroatiaWe state and prove a new refined Boas-type inequality in a setting with a topological space and general σ-finite and finite Borel measures. As a consequence of the result obtained, we derive a new class of Hardy- and Pólya-Knopp-type inequalities related to balls in ℝn and prove that constant factors involved in their right-hand sides are the best possible.http://dx.doi.org/10.1155/2012/659761
collection DOAJ
language English
format Article
sources DOAJ
author A. Čižmešija
J. Pečarić
D. Pokaz
spellingShingle A. Čižmešija
J. Pečarić
D. Pokaz
Some New Refined General Boas-Type Inequalities
Journal of Function Spaces and Applications
author_facet A. Čižmešija
J. Pečarić
D. Pokaz
author_sort A. Čižmešija
title Some New Refined General Boas-Type Inequalities
title_short Some New Refined General Boas-Type Inequalities
title_full Some New Refined General Boas-Type Inequalities
title_fullStr Some New Refined General Boas-Type Inequalities
title_full_unstemmed Some New Refined General Boas-Type Inequalities
title_sort some new refined general boas-type inequalities
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2012-01-01
description We state and prove a new refined Boas-type inequality in a setting with a topological space and general σ-finite and finite Borel measures. As a consequence of the result obtained, we derive a new class of Hardy- and Pólya-Knopp-type inequalities related to balls in ℝn and prove that constant factors involved in their right-hand sides are the best possible.
url http://dx.doi.org/10.1155/2012/659761
work_keys_str_mv AT acizmesija somenewrefinedgeneralboastypeinequalities
AT jpecaric somenewrefinedgeneralboastypeinequalities
AT dpokaz somenewrefinedgeneralboastypeinequalities
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