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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Veröffentlicht in:Journal of function spaces 2012, Vol.2012 (2012), p.1-23
Hauptverfasser: Čižmešija, A., Pokaz, D., Pecaric, Josip E.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2012/659761