Method of interior variations and existence of S-compact sets

被引：19
|
作者：
Buslaev, V. I. [1 ]
Martinez-Finkelshtein, A. [2 ]
Suetin, S. P. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia
[2] Univ Almeria, Almeria 04120, Spain
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2012年 / 279卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
ASYMPTOTIC ZERO DISTRIBUTION; PADE APPROXIMANTS; ORTHOGONAL POLYNOMIALS; JACOBI-POLYNOMIALS; EQUILIBRIUM ENERGY; PROPERTY; CONVERGENCE; STIELTJES; BEHAVIOR; HILBERT;
D O I：
10.1134/S0081543812080044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The variation of equilibrium energy is analyzed for three different functionals that naturally arise in solving a number of problems in the theory of constructive rational approximation of multivalued analytic functions. The variational approach is based on the relationship between the variation of the equilibrium energy and the equilibrium measure. In all three cases the following result is obtained: for the energy functional and the class of admissible compact sets corresponding to the problem, the arising stationary compact set is fully characterized by a certain symmetry property. DOI: 10.1134/S0081543812080044
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页码：25 / 51
页数：27
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