On an extremal function and domains of convergence of series of homogeneous polynomials
J. Siciak (1961)
Annales Polonici Mathematici
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Displaying similar documents to “Extremal points in the space ”
On an extremal function and domains of convergence of series of homogeneous polynomials
Some applications of the method of extremal points in the theory of analytic functions of one complex variable
J. Górski (1964)
Colloquium Mathematicae
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Disks extremal with respect to interpolation constants.
Nguyen Van Trao (2000)
Publicacions Matemàtiques
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We define a function μ from the set of sequences in the unit ball to R* by taking the greatest lower bound of the reciprocal of the interpolating constant of the sequences of the disk which get mapped to the given sequence by a holomorphic mapping from the disk to the ball. Its properties are studied in the spirit of the work of Amar and Thomas.
On a class of extremal problems for polynomials in the unit circle
Shapiro, H.S. (1961)
Portugaliae mathematica
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Polynomials and holomorphic functions on interpolation spaces
Heinz Junek (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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The distribution of extremal points for Kergin interpolations : real case
Thomas Bloom, Jean-Paul Calvi (1998)
Annales de l'institut Fourier
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We show that a convex totally real compact set in admits an extremal array for Kergin interpolation if and only if it is a totally real ellipse. (An array is said to be extremal for when the corresponding sequence of Kergin interpolation polynomials converges uniformly (on ) to the interpolated function as soon as it is holomorphic on a neighborhood of .). Extremal arrays on these ellipses are characterized in terms of the distribution of the points and the rate of convergence...