Uniform Approximation of Continuous Couplings

被引：0

作者：

Bindini, Ugo ^{[1
]}

Rajala, Tapio ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, POB 35 MaD, Jyvaskyla 40014, Finland

来源：

CONSTRUCTIVE APPROXIMATION | 2024年 / 60卷 / 02期

基金：

芬兰科学院;

关键词：

Multi-marginal optimal transport; Approximation with marginal constraints; Space of continuous functions; Uniform norm; SEMICLASSICAL LIMIT; OPTIMAL TRANSPORT;

D O I：

10.1007/s00365-023-09660-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the approximation of non-negative multi-variate couplings in the uniform norm while matching given single-variable marginal constraints.

引用

页码：225 / 235

页数：11

共 50 条

[1] Approximation of martingale couplings on the line in the adapted weak topology
Beiglboeck, M.
Jourdain, B.
Margheriti, W.
Pammer, G.
PROBABILITY THEORY AND RELATED FIELDS, 2022, 183 (1-2) : 359 - 413
[2] Best uniform approximation to a class of rational functions
Zheng, Zhitong
Yong, Jun-Hai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (02) : 909 - 921
[3] Best uniform polynomial approximation of some rational functions
Dehghan, Mehdi
Eslahchi, M. R.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (01) : 382 - 390
[4] Approximation of functions with small mixed smoothness in the uniform norm
Temlyakov, Vladimir N.
Ullrich, Tino
JOURNAL OF APPROXIMATION THEORY, 2022, 277
[5] On convergence of the uniform norms for Gaussian processes and linear approximation problems
Hüsler, J
Piterbarg, V
Seleznjev, O
ANNALS OF APPLIED PROBABILITY, 2003, 13 (04): : 1615 - 1653
[6] The third and fourth kinds of Chebyshev polynomials and best uniform approximation
Eslahchi, M. R.
Dehghan, Mehdi
Amani, Sanaz
MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (5-6) : 1746 - 1762
[7] The Best Uniform Polynomial Approximation of Two Classes of Rational Functions
Eslahchi, M. R.
Amani, Sanaz
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2012, 7 (02): : 93 - 102
[8] Compact subspaces of the space of separately continuous functions with the cross-uniform topology
Maslyuchenko, Oleksandr
Myronyk, Vadym
Ivasiuk, Roman
TOPOLOGY AND ITS APPLICATIONS, 2024, 356
[9] The best uniform polynomial approximation to class of the form 1/(a2±x2)
Eslahchi, M. R.
Dehghan, Mehdi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) : 740 - 750
[10] On the time-continuous mass transport problem and its approximation by augmented Lagrangian techniques
Guittet, K
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 41 (01) : 382 - 399

← 1 2 3 4 5 →