The Beckenbach-Dresher inequality in the \(\Psi\)-direct sums of spaces and related results

DOI10.1186/1029-242X-2012-7zbMath1275.26042OpenAlexW2112547839WikidataQ59271713 ScholiaQ59271713MaRDI QIDQ366170

Sanja Varošanec, Lars-Erik Persson, Ljudmila I. Nikolova

Publication date: 12 September 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-7

zbMATH Keywords

inequalitiesLorentz sequence spaceconcave function\(\Psi\)-direct sumBeckenbach-Dresher inequalityinverse Minkowski's inequality

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Inequalities for sums, series and integrals (26D15)

Related Items (4)

Banach function norms via Cauchy polynomials and applications ⋮ On some generalized triangle inequalities and \(\ell_{\psi}\)-spaces ⋮ Another approach to characterizations of generalized triangle inequalities in normed spaces ⋮ A functional generalization of diamond-\(\alpha\) integral Dresher's inequality on time scales

Cites Work

• Dual of two dimensional Lorentz sequence spaces
• A note on geometrical properties of Banach spaces using \(\psi\)-direct sums
• On Jessen's inequality for convex functions. II
• On convexity properties of \(\psi\)-direct sums of Banach spaces.
• Absolute norms on \(\mathbb{C}^n\)
• Uniform convexity of \(\psi\)-direct sums of Banach spaces
• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• Moment spaces and inequalities
• On Ψ direct sums of Banach spaces and convexity
• A Class of Mean Value Functions
• On James and Jordan-von Neumann constants of Lorentz sequence spaces

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