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

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

First we present various scalar inequalities that extends the classical Cauchy-Schwarz and Kantorovich inequalities. Some of these extensions are based on the moment problem and the Hoelder and Minkowski inequalities. These results are then extended to the matrix case. Many well-known inequalities a...

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Veröffentlicht in:Advances in computational mathematics 2007-01, Vol.26 (1-3), p.71-80
Hauptverfasser: Brezinski, C., Raydan, M.
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Inequalities
Mathematical models
Scalars
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Beschreibung
Zusammenfassung:First we present various scalar inequalities that extends the classical Cauchy-Schwarz and Kantorovich inequalities. Some of these extensions are based on the moment problem and the Hoelder and Minkowski inequalities. These results are then extended to the matrix case. Many well-known inequalities are recovered ans new ones are obtained.
ISSN:1019-7168
1572-9044
DOI:10.1007/s10444-004-7646-8