P. Wojtaszczyk

activity

20132026

most citedUniqueness of unconditional basis of

H_{p} (T) \oplus ℓ_{2}

and

H_{p} (T) \oplus T^{(2)}

for

0 < p < 1

1 citations · 3 across the 11 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.NA2026

Constrained Kolmogorov widths

Ronald DeVore, Guergana Petrova, Jonathan W. Siegel +1

The main theme of approximation theory is to understand how well a general function $f$ can be approximated by a simpler function $g$ such as a polynomial or spline. In many applic…

math.NA2024

A note on best n-term approximation for generalized Wiener classes

Ronald DeVore, Guergana Petrova, Przemyslaw Wojtaszczyk

We determine the best n-term approximation of generalized Wiener model classes in a Hilbert space $H$ . This theory is then applied to several special cases.

math.NA2021

Lipschitz widths

Guergana Petrova, Przemyslaw Wojtaszczyk

This paper introduces a measure, called Lipschitz widths, of the optimal performance possible of certain nonlinear methods of approximation. It discusses their relation to entropy…

math.NA2020

Optimal Stable Nonlinear Approximation

Albert Cohen, Ronald DeVore, Guergana Petrova +1

While it is well known that nonlinear methods of approximation can often perform dramatically better than linear methods, there are still questions on how to measure the optimal pe…