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Lebesgue constants and convergence of barycentric rational interpolation on arbitrary nodes
被引:0
作者
:
Szabados, J.
论文数:
0
引用数:
0
h-index:
0
机构:
Alfred Renyi Inst Math, POB 127, H-1364 Budapest, Hungary
Alfred Renyi Inst Math, POB 127, H-1364 Budapest, Hungary
Szabados, J.
[
1
]
机构
:
[1]
Alfred Renyi Inst Math, POB 127, H-1364 Budapest, Hungary
来源
:
DOLOMITES RESEARCH NOTES ON APPROXIMATION
|
2019年
/ 12卷
关键词
:
barycentric rational interpolation;
Lebesgue constant;
D O I
:
暂无
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We investigate the order of magnitude of the Lebesgue constant of barycentric interpolation on arbitrary nodes, and explore its role in the order of approximation.
引用
收藏
页码:38 / 46
页数:9
相关论文
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Recent advances in linear barycentric rational interpolation
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Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
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Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
Klein, Georges
[J].
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,
2014,
259
: 95
-
107
[2]
RATIONAL FUNCTIONS FOR GUARANTEED AND EXPERIMENTALLY WELL-CONDITIONED GLOBAL INTERPOLATION
BERRUT, JP
论文数:
0
引用数:
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UNIV N CAROLINA, CHAPEL HILL, NC 27514 USA
UNIV N CAROLINA, CHAPEL HILL, NC 27514 USA
BERRUT, JP
[J].
COMPUTERS & MATHEMATICS WITH APPLICATIONS,
1988,
15
(01)
: 1
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16
[3]
Bounding the Lebesgue constant for Berrut's rational interpolant at general nodes
Bos, Len
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0
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0
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0
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Univ Verona, I-37100 Verona, Italy
Univ Verona, I-37100 Verona, Italy
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De Marchi, Stefano
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Univ Padua, I-35100 Padua, Italy
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Univ Verona, I-37100 Verona, Italy
Sidon, Jean
[J].
JOURNAL OF APPROXIMATION THEORY,
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169
: 7
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22
[4]
On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
Bos, Len
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Univ Verona, Dept Comp Sci, I-37134 Verona, Italy
Univ Verona, Dept Comp Sci, I-37134 Verona, Italy
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Univ Padua, Dept Pure & Appl Math, I-35121 Padua, Italy
Univ Verona, Dept Comp Sci, I-37134 Verona, Italy
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Hormann, Kai
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0
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h-index:
0
机构:
Univ Lugano, Fac Informat, CH-6904 Lugano, Switzerland
Univ Verona, Dept Comp Sci, I-37134 Verona, Italy
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Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
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[J].
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On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
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Univ Verona, I-37100 Verona, Italy
Univ Lugano, Lugano, Switzerland
Bos, Len
De Marchi, Stefano
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机构:
Univ Padua, I-35100 Padua, Italy
Univ Lugano, Lugano, Switzerland
De Marchi, Stefano
Hormann, Kai
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h-index:
0
机构:
Univ Lugano, Lugano, Switzerland
Univ Lugano, Lugano, Switzerland
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[J].
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,
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: 504
-
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Barycentric rational interpolation with no poles and high rates of approximation
Floater, Michael S.
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Univ Oslo, Dept Informat, Ctr Math Appl, N-0316 Oslo, Norway
Floater, Michael S.
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Univ Oslo, Dept Informat, Ctr Math Appl, N-0316 Oslo, Norway
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[J].
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Hungarian Acad Sci, Alfred Renyi Math Inst, H-1053 Budapest, Hungary
Hungarian Acad Sci, Alfred Renyi Math Inst, H-1053 Budapest, Hungary
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←
1
→
共 9 条
[1]
Recent advances in linear barycentric rational interpolation
Berrut, Jean-Paul
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
Berrut, Jean-Paul
Klein, Georges
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
Klein, Georges
[J].
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,
2014,
259
: 95
-
107
[2]
RATIONAL FUNCTIONS FOR GUARANTEED AND EXPERIMENTALLY WELL-CONDITIONED GLOBAL INTERPOLATION
BERRUT, JP
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV N CAROLINA, CHAPEL HILL, NC 27514 USA
UNIV N CAROLINA, CHAPEL HILL, NC 27514 USA
BERRUT, JP
[J].
COMPUTERS & MATHEMATICS WITH APPLICATIONS,
1988,
15
(01)
: 1
-
16
[3]
Bounding the Lebesgue constant for Berrut's rational interpolant at general nodes
Bos, Len
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Verona, I-37100 Verona, Italy
Univ Verona, I-37100 Verona, Italy
Bos, Len
De Marchi, Stefano
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Padua, I-35100 Padua, Italy
Univ Verona, I-37100 Verona, Italy
De Marchi, Stefano
Hormann, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Lugano, Lugano, Switzerland
Univ Verona, I-37100 Verona, Italy
Hormann, Kai
Sidon, Jean
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Verona, I-37100 Verona, Italy
Sidon, Jean
[J].
JOURNAL OF APPROXIMATION THEORY,
2013,
169
: 7
-
22
[4]
On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
Bos, Len
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Verona, Dept Comp Sci, I-37134 Verona, Italy
Univ Verona, Dept Comp Sci, I-37134 Verona, Italy
Bos, Len
De Marchi, Stefano
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Padua, Dept Pure & Appl Math, I-35121 Padua, Italy
Univ Verona, Dept Comp Sci, I-37134 Verona, Italy
De Marchi, Stefano
Hormann, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Lugano, Fac Informat, CH-6904 Lugano, Switzerland
Univ Verona, Dept Comp Sci, I-37134 Verona, Italy
Hormann, Kai
Klein, Georges
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
Univ Verona, Dept Comp Sci, I-37134 Verona, Italy
Klein, Georges
[J].
NUMERISCHE MATHEMATIK,
2012,
121
(03)
: 461
-
471
[5]
On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
Bos, Len
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Verona, I-37100 Verona, Italy
Univ Lugano, Lugano, Switzerland
Bos, Len
De Marchi, Stefano
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Padua, I-35100 Padua, Italy
Univ Lugano, Lugano, Switzerland
De Marchi, Stefano
Hormann, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Lugano, Lugano, Switzerland
Univ Lugano, Lugano, Switzerland
Hormann, Kai
[J].
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,
2011,
236
(04)
: 504
-
510
[6]
Barycentric rational interpolation with no poles and high rates of approximation
Floater, Michael S.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Oslo, Dept Informat, Ctr Math Appl, N-0316 Oslo, Norway
Floater, Michael S.
Hormann, Kai
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Oslo, Dept Informat, Ctr Math Appl, N-0316 Oslo, Norway
Hormann, Kai
[J].
NUMERISCHE MATHEMATIK,
2007,
107
(02)
: 315
-
331
[7]
Hormann K, 2012, DOLOMIT RES NOTES AP, V5, P1
[8]
Mastroianni G, 2017, JAEN J APPROX, V9, P25
[9]
ON BARYCENTRIC INTERPOLATION. I. (ON THE T-LEBESGUE FUNCTION AND T-LEBESGUE CONSTANT)
Vertesi, P.
论文数:
0
引用数:
0
h-index:
0
机构:
Hungarian Acad Sci, Alfred Renyi Math Inst, H-1053 Budapest, Hungary
Hungarian Acad Sci, Alfred Renyi Math Inst, H-1053 Budapest, Hungary
Vertesi, P.
[J].
ACTA MATHEMATICA HUNGARICA,
2015,
147
(02)
: 396
-
407
←
1
→