Finite Alternation Theorems and a Constructive Approach to Piecewise Polynomial Approximation in Chebyshev Norm

Jean-Pierre Crouzeix; Nadezda Sukhorukova; Julien Ugon

doi:10.1007/s11228-019-00528-x

Finite Alternation Theorems and a Constructive Approach to Piecewise Polynomial Approximation in Chebyshev Norm

Set-Valued and Variational Analysis ◽

10.1007/s11228-019-00528-x ◽

2020 ◽

Vol 28 (1) ◽

pp. 123-147

Author(s):

Jean-Pierre Crouzeix ◽

Nadezda Sukhorukova ◽

Julien Ugon

Keyword(s):

Polynomial Approximation ◽

Piecewise Polynomial ◽

Constructive Approach ◽

Piecewise Polynomial Approximation ◽

Chebyshev Norm

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Nonlinear Piecewise Polynomial Approximation Beyond Besov Spaces

10.21236/ada640673 ◽

2001 ◽

Author(s):

Borislav Karaivanov ◽

Pencho Petrushev

Keyword(s):

Polynomial Approximation ◽

Besov Spaces ◽

Piecewise Polynomial ◽

Piecewise Polynomial Approximation

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Piecewise polynomial approximation of polynomial curves

Algorithms for Approximation II ◽

10.1007/978-1-4899-3442-0_13 ◽

1990 ◽

pp. 125-133

Author(s):

M. A. Lachance

Keyword(s):

Polynomial Approximation ◽

Piecewise Polynomial ◽

Piecewise Polynomial Approximation ◽

Polynomial Curves

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Best piecewise polynomial approximation

Siberian Mathematical Journal ◽

10.1007/bf00967102 ◽

1976 ◽

Vol 16 (5) ◽

pp. 706-717 ◽

Cited By ~ 2

Author(s):

A. M. Vershik ◽

V. N. Malozemov ◽

A. B. Pevnyi

Keyword(s):

Polynomial Approximation ◽

Piecewise Polynomial ◽

Piecewise Polynomial Approximation

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On the relationship between functions with the same optimal knots in spline and piecewise polynomial approximation

Journal of Approximation Theory ◽

10.1016/0021-9045(84)90006-6 ◽

1984 ◽

Vol 40 (4) ◽

pp. 327-332 ◽

Cited By ~ 1

Author(s):

R.L Eubank

Keyword(s):

Polynomial Approximation ◽

Piecewise Polynomial ◽

Piecewise Polynomial Approximation ◽

The Relationship

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Efficient and Qualified Mesh Generation for Gaussian Molecular Surface Using Adaptive Partition and Piecewise Polynomial Approximation

SIAM Journal on Scientific Computing ◽

10.1137/16m1099704 ◽

2018 ◽

Vol 40 (2) ◽

pp. B507-B527 ◽

Cited By ~ 9

Author(s):

Tiantian Liu ◽

Minxin Chen ◽

Benzhuo Lu

Keyword(s):

Polynomial Approximation ◽

Mesh Generation ◽

Molecular Surface ◽

Piecewise Polynomial ◽

Piecewise Polynomial Approximation

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A vector statistical piecewise polynomial approximation algorithm for environment compensation in telephone LVCSR

2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03). ◽

10.1109/icassp.2003.1202308 ◽

2003 ◽

Author(s):

Zhaobing Han ◽

Shuwu Zhang ◽

Huayun Zhang ◽

Bo Xu

Keyword(s):

Approximation Algorithm ◽

Polynomial Approximation ◽

Piecewise Polynomial ◽

Piecewise Polynomial Approximation

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Piecewise polynomial approximation of a nonlocal phase transitions model

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.06.040 ◽

2014 ◽

Vol 420 (2) ◽

pp. 1069-1094 ◽

Cited By ~ 5

Author(s):

Samir Kumar Bhowmik

Keyword(s):

Phase Transitions ◽

Polynomial Approximation ◽

Piecewise Polynomial ◽

Piecewise Polynomial Approximation

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The piecewise-polynomial approximation in W21 of functions from Wp2 , 1

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(78)90074-5 ◽

1978 ◽

Vol 18 (4) ◽

pp. 114-121

Author(s):

V.N. Orlov

Keyword(s):

Polynomial Approximation ◽

Piecewise Polynomial ◽

Piecewise Polynomial Approximation

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Properties of Transport Solution for Neutron Density in Slab Geometry in Piecewise Polynomial Approximation

Journal of Nuclear Science and Technology ◽

10.1080/18811248.1976.9734096 ◽

1976 ◽

Vol 13 (12) ◽

pp. 715-721 ◽

Cited By ~ 3

Author(s):

Juhani PITKÄRANTA

Keyword(s):

Polynomial Approximation ◽

Neutron Density ◽

Piecewise Polynomial ◽

Slab Geometry ◽

Piecewise Polynomial Approximation

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Nonlinear piecewise polynomial approximation and multivariateBVspaces of a Wiener–L. Young type. I.

Journal of Approximation Theory ◽

10.1016/j.jat.2017.03.002 ◽

2017 ◽

Vol 218 ◽

pp. 9-41 ◽

Cited By ~ 1

Author(s):

Yu. Brudnyi

Keyword(s):

Polynomial Approximation ◽

Type I ◽

Piecewise Polynomial ◽

Piecewise Polynomial Approximation

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