| Autor: |
Baran, Mirosław, Bialas-Ciez, Leokadia |
| Předmět: |
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| Zdroj: |
Dolomites Research Notes on Approximation; Sep2024, Vol. 17 Issue 3, p114-126, 13p |
| Abstrakt: |
Let E be a compact subset of CN and VE be the pluricomplex Green's function of E. The Hölder continuity property, HCP for short, is one of the most interesting features of VE. By means of a radial modification of VE, we give some equivalent conditions to HCP connected with the Ple'sniak property and the Markov inequality for polynomials. Moreover, we consider a capacity, a Chebyshev constant and a transfinite diameter with respect to a fixed norm on the space of polynomials of N variables. We prove that this capacity is not greater than a corresponding Chebyshev constant. One section is devoted to economisation procedure of approximation by telescoping series. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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