Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences

DOI10.1007/s10444-004-7646-8zbMath1117.15018OpenAlexW2090584075MaRDI QIDQ878090

Marcos Raydan, Claude Brezinski

Publication date: 26 April 2007

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-7646-8

zbMATH Keywords

moment problemmatrix inequalityHölder inequalityKantorovich inequalityCauchy-Schwarz inequalityLöwner orderingMinkowiski inequality

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (3)

Aitken's method for estimating bilinear forms arising in applications ⋮ Estimation of the bilinear form \(y^\ast f(A)x\) for Hermitian matrices ⋮ Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations

Cites Work

• Padé-type approximation and general orthogonal polynomials
• Matrix versions of the Cauchy and Kantorovich inequalities
• Continued fractions with applications
• Approximants de Padé
• A note on the matrix valued q-d algorithm and matrix orthogonal polynomials on \([0,1\) and \([0,\infty)\)]
• Some operator inequalities of the Schwarz type
• Matrix theory. Basic results and techniques
• Relaxed steepest descent and Cauchy-Barzilai-Borwein method
• Block descent methods and hybrid procedures for linear systems
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