The transfinite diameter of the real ball and simplex

T. Bloom; L. Bos; N. Levenberg

Annales Polonici Mathematici (2012)

  • Volume: 106, Issue: 1, page 83-96
  • ISSN: 0066-2216

Abstract

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We calculate the transfinite diameter for the real unit ball B d : = x d : | x | 1 and the real unit simplex T d : = x + d : j = 1 d x j 1 .

How to cite

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T. Bloom, L. Bos, and N. Levenberg. "The transfinite diameter of the real ball and simplex." Annales Polonici Mathematici 106.1 (2012): 83-96. <http://eudml.org/doc/280212>.

@article{T2012,
abstract = {We calculate the transfinite diameter for the real unit ball $B_d:=\{x∈ ℝ^d : |x|≤1\}$ and the real unit simplex $T_d:=\{x∈ℝ^d_+ : ∑_\{j=1\}^dx_j≤1\}.$},
author = {T. Bloom, L. Bos, N. Levenberg},
journal = {Annales Polonici Mathematici},
keywords = {transfinite diameter; directional Chebyshev constant},
language = {eng},
number = {1},
pages = {83-96},
title = {The transfinite diameter of the real ball and simplex},
url = {http://eudml.org/doc/280212},
volume = {106},
year = {2012},
}

TY - JOUR
AU - T. Bloom
AU - L. Bos
AU - N. Levenberg
TI - The transfinite diameter of the real ball and simplex
JO - Annales Polonici Mathematici
PY - 2012
VL - 106
IS - 1
SP - 83
EP - 96
AB - We calculate the transfinite diameter for the real unit ball $B_d:={x∈ ℝ^d : |x|≤1}$ and the real unit simplex $T_d:={x∈ℝ^d_+ : ∑_{j=1}^dx_j≤1}.$
LA - eng
KW - transfinite diameter; directional Chebyshev constant
UR - http://eudml.org/doc/280212
ER -

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