Bellman inequality for Hilbert space operators

DOI10.1016/j.laa.2011.06.042zbMath1301.47026arXiv1108.1471OpenAlexW2963222041MaRDI QIDQ389633

Mohammad Sal Moslehian, Ali Morassaei, Farzollah Mirzapour

Publication date: 21 January 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1471

zbMATH Keywords

Bellman inequalityoperator arithmetic meanoperator concaveoperator decreasingpositive linear functional

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) General theory of (C^*)-algebras (46L05)

Related Items (9)

On inequalities of Bellman and Aczél type ⋮ New inequalities for operator concave functions involving positive linear maps ⋮ A note on the operator Bellman inequality ⋮ Generalizations of refined Hölder's inequalities and their applications ⋮ Unnamed Item ⋮ Reversing Bellman operator inequality ⋮ Improved Bellman and Aczél inequalities for operators ⋮ Refinements of Aczél-type inequality and their applications ⋮ Some operator Bellman type inequalities

Cites Work

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• Operator Aczél inequality
• A new generalization of Aczél's inequality and its applications to an improvement of Bellman's inequality
• Refinements of Aczél, Popoviciu and Bellman's inequalities
• On an Inequality Concerning an Indefinite Form

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