Smoothness of the Green function for a special domain

• Autorzy: Serkan Celik , Alexander Goncharov
• Języki publikacji: EN

Abstrakty

EN

We consider a compact set K ⊂ ℝ in the form of the union of a sequence of segments. By means of nearly Chebyshev polynomials for K, the modulus of continuity of the Green functions $g_{ℂ∖K}$ is estimated. Markov's constants of the corresponding set are evaluated.

Kategorie tematyczne

• 31A15: Potentials and capacity, harmonic measure, extremal length
• 41A10: Approximation by polynomials
• 41A17: Inequalities in approximation (Bernstein, Jackson, Nikol\cprime ski{\u\i}-type inequalities)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 106
• Numer: 1
• Strony: 113-126

Daty

wydano

2012

Twórcy

autor

Serkan Celik

• TÜBİTAK, UEKAE P.K. 74, 41470 Gebze, Kocaeli, Turkey

autor

Alexander Goncharov

• Department of Mathematics, Bilkent University, 06800 Ankara, Turkey

Identyfikatory

DOI

10.4064/ap106-0-9