Logarithmic Tables to Seven Places of Decimals
Robert Shortrede
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Robert Shortrede
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Halim, S.Abdul, London, R.R., Thomas, D.K. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Philip Hartman (1974)
Annales Polonici Mathematici
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Ivan Gentil (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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We develop in this paper an improvement of the method given by S. Bobkov and M. Ledoux in [BL00]. Using the Prékopa-Leindler inequality, we prove a modified logarithmic Sobolev inequality adapted for all measures on , with a strictly convex and super-linear potential. This inequality implies modified logarithmic Sobolev inequality, developed in [GGM05, GGM07], for all uniformly strictly convex potential as well as the Euclidean logarithmic Sobolev inequality.
Matteo Bonforte, Gabriele Grillo (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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We investigate the connection between certain logarithmic Sobolev inequalities and generalizations of Gagliardo-Nirenberg inequalities. A similar connection holds between reverse logarithmic Sobolev inequalities and a new class of reverse Gagliardo-Nirenberg inequalities.
Michel Émery, Joseph E. Yukich (1987)
Séminaire de probabilités de Strasbourg
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Imoru, Christopher Olutunde (1982)
International Journal of Mathematics and Mathematical Sciences
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Radosław Adamczak (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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Michel Ledoux (2001)
Séminaire de probabilités de Strasbourg
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Michel Ledoux (1999)
Séminaire de probabilités de Strasbourg
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Petteri Harjulehto, Peter Hästö, Mika Koskenoja, Susanna Varonen (2005)
Banach Center Publications
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In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.
Djalil Chafaï (2002)
Séminaire de probabilités de Strasbourg
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Kutateladze, S.S. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Andrea Cianchi, Nicola Fusco, F. Maggi, A. Pratelli (2009)
Journal of the European Mathematical Society
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