Monotonicity of the extremal functions for one-dimensional inequalities of logarithmic Sobolev type

DOI10.1007/978-3-642-01763-6_2zbMath1191.46029OpenAlexW119992033MaRDI QIDQ3653075

Miclo Laurent

Publication date: 18 December 2009

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-01763-6_2

zbMATH Keywords

Poincaré inequalitylinear diffusionsbirth and death process(modified) logarithmic Sobolev inequalitymonotonicity of extremal functions

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Monotonic functions, generalizations (26A48) Inequalities involving derivatives and differential and integral operators (26D10) Variational methods for eigenvalues of operators (49R05) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (6)

Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks ⋮ A note on one-dimensional Poincaré inequalities by Stein-type integration ⋮ Spectral computations for birth and death chains ⋮ Displacement convexity of entropy and related inequalities on graphs ⋮ Intertwining relations for one-dimensional diffusions and application to functional inequalities ⋮ A note on eigenvalues estimates for one-dimensional diffusion operators

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