Connections between numerical integration, discrepancy, dispersion, and universal discretization
From MaRDI portal
Publication:2178666
DOI10.5802/smai-jcm.58OpenAlexW3004074663MaRDI QIDQ2178666
Publication date: 11 May 2020
Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.04489
Trigonometric approximation (42A10) Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Numerical integration (65D30)
Related Items
Positive-definite functions, exponential sums and the greedy algorithm: a curious phenomenon, On the fixed volume discrepancy of the Korobov point sets
Cites Work
- Approximation by elements of a finite-dimensional subspace of functions from various Sobolev or Nikol'skij spaces
- On the small ball inequality in all dimensions
- On the small ball inequality in three dimensions
- Low-discrepancy sequences and global function fields with many rational places
- Cubature formulas, discrepancy, and nonlinear approximation
- The Marcinkiewicz-type discretization theorems
- Universal discretization
- A note on minimal dispersion of point sets in the unit cube
- An upper bound on the minimal dispersion
- A note on the dispersion of admissible lattices
- Greedy-type approximation in Banach spaces and applications
- Smooth fixed volume discrepancy, dispersion, and related problems
- A distribution-free theory of nonparametric regression
- Quasi-Monte-Carlo methods and the dispersion of point sequences
- On the largest empty axis-parallel box amidst \(n\) points
- A lower bound for the dispersion on the torus
- On universal estimators in learning theory
- On the size of the largest empty box amidst a point set
- Greedy approximation with regard to non-greedy bases
- Incremental Greedy Algorithm and Its Applications in Numerical Integration
- On “Upper Error Bounds for Quadrature Formulas on Function Classes” by K.K. Frolov
- The Marcinkiewicz-type discretization theorems for the hyperbolic cross polynomials
- Multivariate Approximation
- An Upper Bound of the Minimal Dispersion via Delta Covers
- ON A WAY OF OBTAINING LOWER ESTIMATES FOR THE ERRORS OF QUADRATURE FORMULAS
- Integral norm discretization and related problems
- Roth’s Orthogonal Function Method in Discrepancy Theory and Some New Connections
- Irregularities of distribution, VII
- On irregularities of distribution
- Geometric discrepancy. An illustrated guide
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item