Another look at some new Cauchy-Schwarz type inner product inequalities

DOI10.1016/j.amc.2013.11.047zbMath1410.26041OpenAlexW2027155448MaRDI QIDQ1644561

Y. Aharonov

Publication date: 21 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.047

zbMATH Keywords

Lagrange multipliersinner product spacediscrete inequalitiesintegral inequalitiesCauchy-Schwarz inequalityBuzano's inequalitygram determinant

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (9)

Considerations about the several inequalities in an inner product space ⋮ Vector Inequalities for a Projection in Hilbert Spaces and Applications ⋮ The eigenvalues range of a class of matrices and some applications in Cauchy-Schwarz inequality and iterative methods ⋮ Weak \(n\)-inner product spaces ⋮ Generalizations of Buzano inequality for \(n\)-tuples of vectors in inner product spaces with applications ⋮ Some vector inequalities for two operators in Hilbert spaces with applications ⋮ The orthogonal projections and several inequalities ⋮ Refinements of the Hadamard and Cauchy-Schwarz inequalities with two inequalities of the principal angles ⋮ Improving the Cauchy–Schwarz Inequality

Cites Work

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• On Heisenberg's inequality
• Positivity of matrices with generalized matrix functions
• Remarks on Kreĭn's inequality
• An extension of Buzano's inequality in inner product spaces
• Buzano's Inequality and Bounds for Roots of Algebraic Equations
• A Trace Inequality for Unitary Matrices
• Elementary inequalities that involve two nonnegative vectors or functions
• A Cauchy-Schwarz inequality for triples of vectors

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