Remark on generalization of Minkowski's inequality
Jiří Jelínek, Janusz Matkowski (1995)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “On the minima of functionals with linear growth”
Remark on generalization of Minkowski's inequality
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Let ℛ denote some kind of rotundity, e.g., the uniform rotundity. Let X admit an ℛ-norm and let Y be a reflexive subspace of X with some ℛ-norm ∥·∥. Then we are able to extend ∥·∥ from Y to an ℛ-norm on X.
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Between Paouris concentration inequality and variance conjecture
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Annales de l'I.H.P. Probabilités et statistiques
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We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.