Some New Refined General Boas-Type Inequalities. (25th December 2011)

• Record Type: Journal Article
• Authors: Čižmešija, A.; Pečarić, J.; Pokaz, D.
• Other Names: Persson Lars-Erik Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2012(2012)
• Publication Date: 2011-12-25
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2012/659761
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We state and prove a new refined Boas-type inequality in a setting with a topological space and generalσ -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 inℝ n and prove that constant factors involved in their right-hand sides are the best possible.