Norm inequalities via convex and log-convex functions

DOI10.1007/s00009-022-02214-zOpenAlexW4311114146MaRDI QIDQ2682891

Nicuşor Minculete, Hamid Reza Moradi, Cristian Conde, Mohammad S. Sababheh

Publication date: 1 February 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02214-z

zbMATH Keywords

inner product spacetriangle inequalityCauchy-Schwarz inequalitylog-convex function

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Inequalities for sums, series and integrals (26D15)

Related Items (1)

On superquadratic and logarithmically superquadratic functions

Cites Work

• A characterization of inner product spaces related to the skew-angular distance
• Refinements of Hölder-McCarthy inequality and Young inequality
• Improved estimates for the triangle inequality
• A glimpse at the Dunkl-Williams inequality
• Characterization of a generalized triangle inequality in normed spaces
• Means refinements via convexity
• A Cauchy-Schwarz inequality for operators with applications
• Bounds for the \(p\)-angular distance and characterizations of inner product spaces
• Refinement of triangle inequality for the Schatten \(p\)-norm
• Characterizations of inner product spaces via angular distances and Cauchy-Schwarz inequality
• \(p\)-angular distance orthogonality
• Some remarks on the triangle inequality for norms
• Linear differential equations and functional analysis. I
• Upper and lower bounds for the p-angular distance in normed spaces with applications
• Log and harmonically log-convex functions related to matrix norms
• Bounds for the normalised Jensen functional
• Strengthened Cauchy-Schwarz and H\"older inequalities
• Angles in Normed Linear Spaces and a Characterization of Real Inner Product Spaces
• Operator inequalities via geometric convexity
• Simple Norm Inequalities
• A Simple Norm Inequality
• More accurate numerical radius inequalities (II)
• Angles in complex vector spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Norm inequalities via convex and log-convex functions