Advanced refinements of Young and Heinz inequalities

DOI10.1016/j.jnt.2016.08.009zbMath1353.15023arXiv1606.06848OpenAlexW2962721671MaRDI QIDQ344128

Mohammad Sal Moslehian, Mohammad S. Sababheh

Publication date: 22 November 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06848

zbMATH Keywords

positive operatorsnorm inequalitiesYoung inequalityHeinz inequalityHilbert-Schmidt norm

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Positive linear operators and order-bounded operators (47B65)

Related Items (18)

Reverses of Ando's and Hölder-McCarty's inequalities ⋮ Matrix mixed mean inequalities ⋮ Extended normalized Jensen functional related to convexity, 1-quasiconvexity and superquadracity ⋮ Means refinements via convexity ⋮ On several inequalities related to convex functions ⋮ Further new refinements and reverses of real power form for Young-type inequalities via famous constants and applications ⋮ New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant ⋮ Generalized reverse Young and Heinz inequalities ⋮ Unnamed Item ⋮ Improved Young and Heinz operator inequalities with Kantorovich constant ⋮ The weighted numerical radius ⋮ Some refinements of classical inequalities ⋮ Quadratic interpolation of the Heinz means ⋮ Unitarily invariant norm inequalities for matrix means ⋮ Quadratic refinements of Young type inequalities ⋮ A reverse of Young inequality ⋮ Some extended numerical radius inequalities ⋮ Further refinements of some inequalities involving unitarily invariant norm

Cites Work

• A complete refinement of Young's inequality
• Convexity and matrix means
• Operator inequalities involving improved Young and its reverse inequalities
• Improved Young and Heinz inequalities for matrices
• Matrix Young inequalities for the Hilbert-Schmidt norm
• Further refinements of the Heinz inequality
• Operator inequalities and reverse inequalities related to the Kittaneh–Manasrah inequalities
• Reverse Young and Heinz inequalities for matrices
• Refined Young inequality with Kantorovich constant
• Log and harmonically log-convex functions related to matrix norms
• Reverses and variations of Heinz inequality
• Interpolated Young and Heinz inequalities

This page was built for publication: Advanced refinements of Young and Heinz inequalities