On the logarithmic derivative of some Bazilevic functions.
Halim, S.Abdul, London, R.R., Thomas, D.K. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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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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Robert Shortrede
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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.
Robert Shortrede
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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.
F. M. Filipczak (1980)
Colloquium Mathematicae
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Karl Menger (1958)
Fundamenta Mathematicae
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Michel Ledoux (2001)
Séminaire de probabilités de Strasbourg
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Michel Émery, Joseph E. Yukich (1987)
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.
Michel Ledoux (1999)
Séminaire de probabilités de Strasbourg
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Abdon Atangana, Dumitru Baleanu, Ahmed Alsaedi (2015)
Open Mathematics
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Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this derivative and we have proved some useful related theorems. Also, some new definitions have been introduced.
Radosław Adamczak (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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