A+ CATEGORY SCIENTIFIC UNIT

Directional Chebyshev constants on the boundary

Thomas Bloom, Norm Levenberg Annales Polonici Mathematici MSC: Primary 32U20 DOI: 10.4064/ap240917-3-5 Published online: 16 June 2025

Abstract

We prove results on the existence of limits in the definition of (weighted) directional Chebyshev constants at all points of the standard simplex $\Sigma \subset \mathbb R^d$ for (locally) regular compact sets $K\subset \mathbb C^d$.

Authors

  • Thomas BloomDepartment of Mathematics
    University of Toronto
    M5S 2E4 Toronto, Canada
    e-mail
  • Norm LevenbergDepartment of Mathematics
    Indiana University
    Bloomington, IN 47405, USA
    e-mail

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