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1

On an extreme class of real interpolation spaces

Fernando Cobos, Luz M. Fernández-Cabrera, Thomas Kühn, Tino Ullrich

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 385 KB

english, 2009

2

Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square

Dũng, Dinh, Ullrich, Tino

Journal:

Mathematische Nachrichten

Year:

2015

Language:

english

File:

PDF, 325 KB

english, 2015

3

Haar projection numbers and failure of unconditional convergence in Sobolev spaces

Seeger, Andreas, Ullrich, Tino

Journal:

Mathematische Zeitschrift

Year:

2017

Language:

english

File:

PDF, 671 KB

english, 2017

4

[Advanced Courses in Mathematics - CRM Barcelona] Hyperbolic Cross Approximation ||

Dũng, Dinh, Temlyakov, Vladimir, Ullrich, Tino, Tikhonov, Sergey

Year:

2018

Language:

english

File:

PDF, 2.88 MB

english, 2018

5

Numerical Performance of Optimized Frolov Lattices in Tensor Product Reproducing Kernel Sobolev Spaces

Kacwin, Christopher, Oettershagen, Jens, Ullrich, Mario, Ullrich, Tino

Journal:

Foundations of Computational Mathematics

Year:

2020

File:

PDF, 1.44 MB

2020

6

Generalized coorbit space theory and inhomogeneous function spaces of Besov–Lizorkin–Triebel type

Holger Rauhut, Tino Ullrich

Journal:

Journal of Functional Analysis

Year:

2011

Language:

english

File:

PDF, 451 KB

english, 2011

7

Approximation numbers of Sobolev embeddings—Sharp constants and tractability

Kühn, Thomas, Sickel, Winfried, Ullrich, Tino

Journal:

Journal of Complexity

Year:

2014

Language:

english

File:

PDF, 451 KB

english, 2014

8

Counting Via Entropy: New Preasymptotics for the Approximation Numbers of Sobolev Embeddings

Kühn, Thomas, Mayer, Sebastian, Ullrich, Tino

Journal:

SIAM Journal on Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 456 KB

english, 2016

9

The Haar System as a Schauder Basis in Spaces of Hardy–Sobolev Type

Garrigós, Gustavo, Seeger, Andreas, Ullrich, Tino

Journal:

Journal of Fourier Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 695 KB

english, 2017

10

[Advanced Courses in Mathematics - CRM Barcelona] Hyperbolic Cross Approximation || Introduction

Dũng, Dinh, Temlyakov, Vladimir, Ullrich, Tino, Tikhonov, Sergey

Year:

2018

Language:

english

File:

PDF, 455 KB

english, 2018

11

The Gelfand widths of -balls for

Simon Foucart, Alain Pajor, Holger Rauhut, Tino Ullrich

Journal:

Journal of Complexity

Year:

2010

Language:

english

File:

PDF, 257 KB

english, 2010

12

Reiteration formulae for interpolation methods associated to polygons

Fernando Cobos, Christian Richter, Tino Ullrich

Journal:

Journal of Mathematical Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 255 KB

english, 2009

13

Tensor products of Sobolev–Besov spaces and applications to approximation from the hyperbolic cross

Winfried Sickel, Tino Ullrich

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 1.34 MB

english, 2009

14

Whitney type inequalities for local anisotropic polynomial approximation

Dinh Dung, Tino Ullrich

Journal:

Journal of Approximation Theory

Year:

2011

Language:

english

File:

PDF, 245 KB

english, 2011

15

New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets

Yiyu Liang, Yoshihiro Sawano, Tino Ullrich, Dachun Yang, Wen Yuan

Journal:

Journal of Fourier Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 881 KB

english, 2012

16

N-Widths andε-Dimensions for High-Dimensional Approximations

DÅ©ng, Dinh, Ullrich, Tino

Journal:

Foundations of Computational Mathematics

Year:

2013

Language:

english

File:

PDF, 1.16 MB

english, 2013

17

ANSWERS TO CORRESPONDENTS.

Journal:

Year:

1853

Language:

english

File:

PDF, 198 KB

english, 1853

18

Optimal cubature in Besov spaces with dominating mixed smoothness on the unit square

Journal:

Journal of Complexity

Year:

2014

Language:

english

File:

PDF, 464 KB

english, 2014

19

Spline interpolation on sparse grids

Sickel, Winfried, Ullrich, Tino

Journal:

Applicable Analysis

Year:

2011

Language:

english

File:

PDF, 379 KB

english, 2011

20

Entropy and Sampling Numbers of Classes of Ridge Functions

Mayer, Sebastian, Ullrich, Tino, Vybíral, Jan

Journal:

Constructive Approximation

Year:

2015

Language:

english

File:

PDF, 379 KB

english, 2015

21

Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits

Journal:

Journal of Function Spaces and Applications

Year:

2012

Language:

english

File:

PDF, 330 KB

english, 2012

22

Approximation of Mixed Order Sobolev Functions on thed-Torus: Asymptotics, Preasymptotics, andd-Dependence

Kühn, Thomas, Sickel, Winfried, Ullrich, Tino

Journal:

Constructive Approximation

Year:

2015

Language:

english

File:

PDF, 1.00 MB

english, 2015

23

The Role of Frolov's Cubature Formula for Functions with Bounded Mixed Derivative

Ullrich, Mario, Ullrich, Tino

Journal:

SIAM Journal on Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 302 KB

english, 2016

24

Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in

Byrenheid, Glenn, Dũng, Dinh, Sickel, Winfried, Ullrich, Tino

Journal:

Journal of Approximation Theory

Year:

2016

Language:

english

File:

PDF, 298 KB

english, 2016

25

Optimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions

Hinrichs, Aicke, Markhasin, Lev, Oettershagen, Jens, Ullrich, Tino

Journal:

Numerische Mathematik

Year:

2016

Language:

english

File:

PDF, 977 KB

english, 2016

26

Lower Bounds for Haar Projections: Deterministic Examples

Seeger, Andreas, Ullrich, Tino

Journal:

Constructive Approximation

Year:

2016

Language:

english

File:

PDF, 542 KB

english, 2016

27

General Coorbit Space Theory for Quasi-Banach Spaces and Inhomogeneous Function Spaces with Variable Smoothness and Integrability

Kempka, Henning, Schäfer, Martin, Ullrich, Tino

Journal:

Journal of Fourier Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 1.36 MB

english, 2016

28

On the orthogonality of the Chebyshev–Frolov lattice and applications

Kacwin, Christopher, Oettershagen, Jens, Ullrich, Tino

Journal:

Monatshefte für Mathematik

Year:

2017

Language:

english

File:

PDF, 577 KB

english, 2017

29

[IEEE 2017 International Conference on Sampling Theory and Applications (SampTA) - Tallin, Estonia (2017.7.3-2017.7.7)] 2017 International Conference on Sampling Theory and Applications (SampTA) - Gelfand numbers, structured sparsity and Besov space embeddings with small mixed smoothness

Dirksen, Sjoerd, Ullrich, Tino

Year:

2017

Language:

english

File:

PDF, 252 KB

english, 2017

30

Gelfand numbers related to structured sparsity and Besov space embeddings with small mixed smoothness

Dirksen, Sjoerd, Ullrich, Tino

Journal:

Journal of Complexity

Year:

2018

Language:

english

File:

PDF, 617 KB

english, 2018

31

A higher order Faber spline basis for sampling discretization of functions

Derevianko, Nadiia, Ullrich, Tino

Journal:

Journal of Approximation Theory

Year:

2020

File:

PDF, 604 KB

2020

32

Entropy Numbers of Finite Dimensional Mixed-Norm Balls and Function Space Embeddings with Small Mixed Smoothness

Mayer, Sebastian, Ullrich, Tino

Journal:

Constructive Approximation

Year:

2020

File:

PDF, 589 KB

2020