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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Bibliographic Details
Published inAdvances in computational mathematics Vol. 26; no. 1-3; pp. 71 - 80
Main Authors Brezinski, C., Raydan, M.
Format Journal Article
LanguageEnglish
Published 01.01.2007
Subjects
Computation
Inequalities
Mathematical models
Scalars
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1019-7168
1572-9044
DOI:10.1007/s10444-004-7646-8