Displaying similar documents to “Functionals depending on curvatures with constraints”

New variants of Khintchine's inequality.

Ioan Serb (2001)

Collectanea Mathematica

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Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.

On a generalization of the Selection Theorem of Mahler

Gilbert Muraz, Jean-Louis Verger-Gaugry (2005)

Journal de Théorie des Nombres de Bordeaux

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The set 𝒰 𝒟 r of point sets of ℝ n , n ≥ 1 , having the property that their minimal interpoint distance is greater than a given strictly positive constant r > 0 is shown to be equippable by a metric for which it is a compact topological space and such that the Hausdorff metric on the subset 𝒰 𝒟 r , f ⊂ 𝒰 𝒟 r of the finite point sets is compatible with the restriction of this topology to 𝒰 𝒟 r , f . We show that its subsets of Delone sets of given constants in ℝ n , n ≥ 1 , are compact. Three (classes of) metrics, whose one of crystallographic...