Displaying similar documents to “Ratio monotonicity of polynomials derived from nondecreasing sequences.”

Alexander’s projective capacity for polydisks and ellipsoids in N

Mieczysław Jędrzejowski (1995)

Annales Polonici Mathematici

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Alexander’s projective capacity for the polydisk and the ellipsoid in N is computed. Sharper versions of two inequalities concerning this capacity and some other capacities in N are given. A sequence of orthogonal polynomials with respect to an appropriately defined measure supported on a compact subset K in N is proved to have an asymptotic behaviour in N similar to that of the Siciak homogeneous extremal function associated with K.