A complete refinement of Young's inequality

DOI10.1016/j.jmaa.2016.03.049zbMath1339.26066OpenAlexW2308726208MaRDI QIDQ269453

Mohammad S. Sababheh, Daeshik Choi

Publication date: 18 April 2016

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.2016.03.049

zbMATH Keywords

norm inequalitiesYoung inequalityunitarily invariant norm inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (36)

Reverses of Ando's and Hölder-McCarty's inequalities ⋮ Further refinements of Young's type inequality for positive linear maps ⋮ Some refinements of Young type inequalities ⋮ Matrix mixed mean inequalities ⋮ Advanced refinements of Young and Heinz inequalities ⋮ Extended normalized Jensen functional related to convexity, 1-quasiconvexity and superquadracity ⋮ Graph indices via the AM-GM inequality ⋮ Means refinements via convexity ⋮ Improved Jensen-type inequalities via quadratic interpolation and applications ⋮ Piecewise quadratic interpolation and applications to the Young inequality ⋮ Some results of Young-type inequalities ⋮ 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 ⋮ Convex functions and means of matrices ⋮ Generalized reverse Young and Heinz inequalities ⋮ A series of refinements on the Young and reverse Young inequalities through a recursive algorithm ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some extensions of the Young and Heinz inequalities for matrices ⋮ Improved Young and Heinz operator inequalities with Kantorovich constant ⋮ Multiple-term refinements of Young type inequalities ⋮ Refinements and reverses of Young type inequalities ⋮ Further refinements of generalized numerical radius inequalities for Hilbert space operators ⋮ Some refinements of the improved Young and its reverse inequalities ⋮ A new generalized refinements of Young's inequality and applications ⋮ More accurate Hilbert-type inequalities in a difference form ⋮ The weighted numerical radius ⋮ Some refinements of classical inequalities ⋮ Convexity and matrix means ⋮ Quadratic refinements of Young type inequalities ⋮ A reverse of Young inequality ⋮ On the further refinement of some operator inequalities for positive linear map ⋮ Strengthenings of Young-type inequalities and the arithmetic geometric mean inequality ⋮ A note on the paper ``Matrix inequalities for the difference between arithmetic mean and harmonic mean ⋮ Some extended numerical radius inequalities ⋮ Further refinements and generalizations of the Young's and its reverse inequalities

Cites Work

• Operator inequalities involving improved Young and its reverse inequalities
• Interpolating the arithmetic--geometric mean inequality and its operator version
• Mean matrices and infinite divisibility
• A generalization of two refined Young inequalities
• Improved Young and Heinz inequalities for matrices
• Norm inequalities for fractional powers of positive operators
• Matrix Young inequalities for the Hilbert-Schmidt norm
• Interpolated inequalities for unitarily invariant norms
• Young-type inequalities and their matrix analogues
• Interpolated Young and Heinz inequalities
• Matrix Analysis
• Means for matrices and comparison of their norms

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