Capacities associated to the Siciak extremal function
S. Kołodziej (1989)
Annales Polonici Mathematici
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S. Kołodziej (1989)
Annales Polonici Mathematici
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J. Zamorski (1958-1959)
Annales Polonici Mathematici
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J. Śladkowska (1983)
Annales Polonici Mathematici
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Promarz Tamrazov (2009)
Open Mathematics
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The original version of the article was published in Central European Journal of Mathematics, 2005, 3(4), 591–605. Unfortunately, the original version of this article contains a mistake. We give some corrections to our work.
Kenneth P. Goldberg (1976)
Annales Polonici Mathematici
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E. T. Davies (1972)
Colloquium Mathematicae
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W. Janowski (1970)
Annales Polonici Mathematici
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G. Opfer (1979)
Numerische Mathematik
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S. R. Kulkarni, M. K. Aouf, S. B. Joshi (1994)
Matematički Vesnik
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Iryna V. Denega (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Some results related to extremal problems with free poles on radial systems are generalized. They are obtained by applying the known methods of geometric function theory of complex variable. Sufficiently good numerical results for γ are obtained.
W. Pleśniak (2003)
Annales Polonici Mathematici
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The Siciak extremal function establishes an important link between polynomial approximation in several variables and pluripotential theory. This yields its numerous applications in complex and real analysis. Some of them can be found on a rich list drawn up by Klimek in his well-known monograph "Pluripotential Theory". The purpose of this paper is to supplement it by applications in constructive function theory.
Klaus Menke (1989)
Numerische Mathematik
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Iovanov, Miodrag (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Armen Edigarian, Przemysław Kliś (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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We give a simple proof of almost properness of any extremal mapping in the sense of Lempert function or in the sense of Kobayashi-Royden pseudometric.
Marta Ferreira (2015)
Discussiones Mathematicae Probability and Statistics
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The extremal index Θ is an important parameter in extreme value analysis when extending results from independent and identically distributed sequences to stationary ones. A connection between the extremal index and the tail dependence coefficient allows the introduction of new estimators. The proposed ones are easy to compute and we analyze their performance through a simulation study. Comparisons with other existing methods are also presented. Case studies within environment are considered...