Geodesic
Chebyshev and Robin constants on algebraic curves
Jesse Hart1 ; Sione Ma`u1
1 Department of Mathematics University of Auckland Auckland, New Zealand
Annales Polonici Mathematici, Tome 115 (2015) no. 2, pp. 101-121

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We define directional Robin constants associated to a compact subset of an algebraic curve. We show that these constants satisfy an upper envelope formula given by polynomials. We use this formula to relate the directional Robin constants of the set to its directional Chebyshev constants. These constants can be used to characterize algebraic curves on which the Siciak–Zaharjuta extremal function is harmonic.
DOI : 10.4064/ap115-2-1
Keywords: define directional robin constants associated compact subset algebraic curve these constants satisfy upper envelope formula given polynomials formula relate directional robin constants set its directional chebyshev constants these constants characterize algebraic curves which siciak zaharjuta extremal function harmonic

Jesse Hart 1 ; Sione Ma`u 1

1 Department of Mathematics University of Auckland Auckland, New Zealand 
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Jesse Hart; Sione Ma`u. Chebyshev and Robin constants on algebraic curves. Annales Polonici Mathematici, Tome 115 (2015) no. 2, pp. 101-121. doi: 10.4064/ap115-2-1

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