The \(p\)-\(HH\) norms on Cartesian powers and sequence spaces

DOI10.1016/j.jmaa.2009.06.020zbMath1187.46010OpenAlexW2028459013MaRDI QIDQ837616

Eder Kikianty, Gordon Sinnamon

Publication date: 20 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.020

zbMATH Keywords

Banach spacesmoothnessabsolute normHermite-Hadamard inequalityCartesian powerhypergeometric mean

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Isometric theory of Banach spaces (46B04)

Related Items (3)

New inequalities for the \(p\)-angular distance in normed spaces with applications ⋮ Orthogonality connected with integral means and characterizations of inner product spaces ⋮ On the Hadamard sequence spaces \(h^p(X)\) and the \(p\)-summing operators

Cites Work

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• Two mappings related to semi-inner products and their applications in geometry of normed linear spaces
• Convex functions, partial orderings, and statistical applications
• Strict Convexity and Smoothness of Normed Spaces
• The Complete Continuity Property in Bochner Function Spaces
• Rotundity in Lebesgue-Bochner Function Spaces
• An Introduction to Banach Space Theory
• Geometry of Lebesgue-Bochner Function Spaces-Smoothness
• Hermite-Hadamard's inequality and the p-HH-norm on the Cartesian product of two copies of a normed space
• A Hypergeometric Mean Value
• Some Inequalities for Hypergeometric Functions
• Linear Functionals on Certain Banach Spaces

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