Extremal points in the space
J. Siciak (1964)
Colloquium Mathematicae
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Displaying similar documents to “On an extremal function and domains of convergence of series of homogeneous polynomials”
Extremal points in the space
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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On a class of extremal problems for polynomials in the unit circle
Shapiro, H.S. (1961)
Portugaliae mathematica
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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...
On polynomials of least deviation from zero in several variables.
Xu, Yuan (2004)
Experimental Mathematics
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An introduction to polynomials on Banach spaces.
Richard Aron (2002)
Extracta Mathematicae
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A generalization of Schwarz's lemma and of Hadamard's three circles theorem
J. Siciak (1964)
Colloquium Mathematicae
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Homogeneous extremal function for a ball in ℝ²
Mirosław Baran (1999)
Annales Polonici Mathematici
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We point out relations between Siciak’s homogeneous extremal function and the Cauchy-Poisson transform in case is a ball in ℝ². In particular, we find effective formulas for for an important class of balls. These formulas imply that, in general, is not a norm in ℂ².
On the equivalence between locally polar and globally polar sets in
J. Siciak (1983)
Banach Center Publications
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