Some refinements for the arithmetic-geometric mean and Cauchy-Schwarz matrix norm interpolating inequalities

DOI10.1007/s41980-018-0060-7OpenAlexW2614740242MaRDI QIDQ1734088

Vahid Darvish, Tahere Azimi Roushan, Ali Taghavi

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0060-7

zbMATH Keywords

unitarily invariant normCauchy-Schwarz inequalityarithmetic-geometric convex

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Inequalities for sums, series and integrals (26D15)

Related Items (2)

Hermite-Hadamard type inequalities for operator geometrically convex functions II ⋮ Unnamed Item

Cites Work

• Hermite-Hadamard type inequalities for operator geometrically convex functions
• Remarks on two recent results of Audenaert
• Hermite and convexity
• A note on the arithmetic-geometric-mean inequality for matrices
• Convex functions, partial orderings, and statistical applications
• Norm inequalities for fractional powers of positive operators
• A Cauchy-Schwarz inequality for operators with applications
• Interpolated inequalities for unitarily invariant norms
• A note on interpolation between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities
• Interpolating inequalities related to a recent result of Audenaert
• Convexity according to the geometric mean
• Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities
• Convex functions
• Convex functions and their applications. A contemporary approach

This page was built for publication: Some refinements for the arithmetic-geometric mean and Cauchy-Schwarz matrix norm interpolating inequalities