On totally monotonic families of sequences |
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Authors: | P. Mortreux M. Prévost |
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Affiliation: | (1) Laboratoire de Mathématiques Pures et Appliquées, Joseph Liouville, Université du Littoral, Centre Universitaire de la Mi-Voix, Batiment H. Poincaré, 50 Rue F. Buisson B.P. 699, F-62228 Calais Cédex, France; e-mail: prevost@lma.univ-littoral.fr , FR |
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Abstract: | Summary. Total positivity is an important concept which has been studied by Gantmacher, Karlin and Schoenberg. In section 1, new properties of totally positive functions are given. The concept of totally monotonic families of sequences (TMFS), by mean of positivity of some determinant, is defined and studied. Applications to extrapolation algorithms are given. Received October 22, 1997 / Revised version received April 14, 1998 / Published online August 19, 1999 |
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Keywords: | Mathematics Subject Classification (1991):65B05 |
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