Simultaneous Approximation of Conformal Mappings on Smooth Domains

被引：0

作者：

Kosar, Cem ^{[1
]}

机构：

[1] Gaziantep Univ, Dept Math & Sci Educ, Gaziantep, Turkey

来源：

FILOMAT | 2019年 / 33卷 / 01期

关键词：

Conformal mapping; Bieberbach polynomials; Simultaneous approximation; BIEBERBACH POLYNOMIALS; CONVERGENCE;

D O I：

10.2298/FIL1901281K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some estimates for the simultaneous polynomial approximation of the conformal mapping of the finite simple connected domain onto the disc in the complex plane C and its derivatives are obtained. The approximation rate in dependence of the differential parameters of the considered smooth domain is estimated.

引用

页码：281 / 287

页数：7

共 50 条

[1] An approximation of conformal mappings on smooth domains
Oktay, Burcin
Israfilov, Daniyal M.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (06) : 741 - 750
[2] FINITE ELEMENT APPROXIMATION OF CONFORMAL MAPPINGS TO UNBOUNDED JORDAN DOMAINS
Tsuchiya, Takuya
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (10) : 1382 - 1397
[3] Approximation of conformal mappings and novel applications to shape recognition of planar domains
Hersonsky, Sa'ar
JOURNAL OF SUPERCOMPUTING, 2018, 74 (11): : 6333 - 6368
[4] CONFORMAL MAPPINGS AND APPROXIMATION OF ANALYTIC-FUNCTIONS IN DOMAINS WITH A QUASICONFORMAL BOUNDARY
BELYI, VI
MATHEMATICS OF THE USSR-SBORNIK, 1977, 31 (03): : 289 - 317
[5] Approximation of conformal mappings and novel applications to shape recognition of planar domains
Sa’ar Hersonsky
The Journal of Supercomputing, 2018, 74 : 6333 - 6368
[6] On Conformal Mappings of Spherical Domains
Bourchtein, Andrei
Bourchtein, Ludmila
ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY, 2011, 1368
[7] On Conformal Conic Mappings of Spherical Domains
Bourchtein, Andrei
Bourchtein, Ludmila
SCIENTIFIC WORLD JOURNAL, 2014,
[8] STABILITY IN LIOUVILLES THEOREM ON CONFORMAL MAPPINGS OF A SPACE FOR DOMAINS WITH NON-SMOOTH BOUNDARY
RESHETNYAK, YG
SIBERIAN MATHEMATICAL JOURNAL, 1976, 17 (02) : 281 - 288
[9] Approximation of conformal mappings by circle patterns
Buecking, Ulrike
GEOMETRIAE DEDICATA, 2008, 137 (01) : 163 - 197
[10] Approximation of conformal mappings of annular regions
Papamichael, N
Pritsker, IE
Saff, EB
Stylianopoulos, NS
NUMERISCHE MATHEMATIK, 1997, 76 (04) : 489 - 513

← 1 2 3 4 5 →