A Note on Uniform Approximation by the Indestructibles

2021 ◽  
pp. 125525
Author(s):  
John R. Akeroyd
Keyword(s):  
Uniform Approximation

scholarly journals A Wavelet-Based Almost-Sure Uniform Approximation of Fractional Brownian Motion with a Parallel Algorithm

2014 ◽  
Vol 51 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Dawei Hong ◽  
Shushuang Man ◽  
Jean-Camille Birget ◽  
Desmond S. Lun
Keyword(s):  
Brownian Motion ◽  
Convergence Rate ◽  
Fractional Brownian Motion ◽  
Parallel Algorithm ◽  
Uniform Approximation ◽  
Haar Wavelets ◽  
Hurst Index ◽  
Sample Paths ◽  
Vanishing Moment ◽  
Uniform Expansion

We construct a wavelet-based almost-sure uniform approximation of fractional Brownian motion (FBM) (Bt(H))_t∈[0,1] of Hurst index H ∈ (0, 1). Our results show that, by Haar wavelets which merely have one vanishing moment, an almost-sure uniform expansion of FBM for H ∈ (0, 1) can be established. The convergence rate of our approximation is derived. We also describe a parallel algorithm that generates sample paths of an FBM efficiently.

scholarly journals Best quasi-convex uniform approximation

1990 ◽  
Vol 152 (1) ◽  
pp. 240-251 ◽  
Author(s):  
S.E Weinstein ◽  
Yuesheng Xu
Keyword(s):  
Uniform Approximation

Uniform approximation on totally real sets

1980 ◽  
Vol 253 (2) ◽  
pp. 139-144 ◽  
Author(s):  
Akira Sakai
Keyword(s):  
Uniform Approximation ◽  
Totally Real

On uniform approximation of Poisson variates by normal ones

1983 ◽  
Vol 8 (3) ◽  
pp. 281-300
Author(s):  
Judah Rosenblatt ◽  
D.L. Jackson ◽  
W.P. Dole ◽  
W.L. Thompson
Keyword(s):  
Uniform Approximation

scholarly journals Rigorous uniform approximation of D-finite functions using Chebyshev expansions

2016 ◽  
Vol 86 (305) ◽  
pp. 1303-1341 ◽  
Author(s):  
Alexandre Benoit ◽  
Mioara Joldeş ◽  
Marc Mezzarobba
Keyword(s):  
Uniform Approximation
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