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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/659761 |
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| _version_ | 1832567774966185984 |
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| author | A. Čižmešija J. Pečarić D. Pokaz |
| author_facet | A. Čižmešija J. Pečarić D. Pokaz |
| author_sort | A. Čižmešija |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0c7dcb145e76400da65a0eb4f966263b |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-0c7dcb145e76400da65a0eb4f966263b2025-02-03T01:00:26ZengWileyJournal 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 |
| spellingShingle | A. Čižmešija J. Pečarić D. Pokaz Some New Refined General Boas-Type Inequalities Journal of Function Spaces and Applications |
| title | 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_short | Some New Refined General Boas-Type Inequalities |
| title_sort | some new refined general boas type inequalities |
| url | http://dx.doi.org/10.1155/2012/659761 |
| work_keys_str_mv | AT acizmesija somenewrefinedgeneralboastypeinequalities AT jpecaric somenewrefinedgeneralboastypeinequalities AT dpokaz somenewrefinedgeneralboastypeinequalities |