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On the multivariate transfinite diameter

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Publication:4949742
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DOI10.4064/ap-72-3-285-305zbMath0954.32020OpenAlexW759660143MaRDI QIDQ4949742

Jean-Paul Calvi, Thomas Bloom

Publication date: 5 February 2001

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-72-3-285-305


zbMATH Keywords

Chebyshev polynomialsmultivariate transfinite diameterRobin's functions


Mathematics Subject Classification ID

Approximation by polynomials (41A10) Potentials and capacities on other spaces (31C15) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Plurisubharmonic functions and generalizations (32U05) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35) Capacity theory and generalizations (32U20)


Related Items (5)

The multivariate integer Chebyshev problem ⋮ The Newton product of polynomial projectors. II: Approximation properties ⋮ A Robin formula for the Fekete-Leja transfinite diameter ⋮ The Newton product of polynomial projectors Part 1: Construction and algebraic properties ⋮ Transfinite diameter on the graph of a polynomial mapping and the DeMarco-Rumely formula




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