DISCREPANCY OF SECOND ORDER DIGITAL SEQUENCES IN FUNCTION SPACES WITH DOMINATING MIXED SMOOTHNESS
From MaRDI portal
Publication:4604477
DOI10.1112/S0025579317000213zbMath1388.11044arXiv1604.08713OpenAlexW2963110723MaRDI QIDQ4604477
Aicke Hinrichs, Josef Dick, Lev Markhasin, Friedrich Pillichshammer
Publication date: 26 February 2018
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.08713
Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)
Related Items (4)
Optimal \(L_{p}\)-discrepancy bounds for second order digital sequences ⋮ The BMO-discrepancy suffers from the curse of dimensionality ⋮ Discrepancy of Digital Sequences: New Results on a Classical QMC Topic ⋮ Tractability properties of the discrepancy in Orlicz norms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Point sets and sequences with small discrepancy
- Sequences, discrepancies and applications
- On the small ball inequality in all dimensions
- Bases in function spaces, sampling, discrepancy, numerical integration
- Some weighted norm inequalities concerning the Schrödinger operators
- A continuous version of duality of \(H^ 1\) with BMO on the bidisc
- Low-discrepancy sequences and global function fields with many rational places
- BMO and exponential Orlicz space estimates of the discrepancy function in arbitrary dimension
- Optimal \(L_{p}\)-discrepancy bounds for second order digital sequences
- Quasi-Monte Carlo methods for integration of functions with dominating mixed smoothness in arbitrary dimension
- Discrepancy bounds for infinite-dimensional order two digital sequences over \(\mathbb F_2\)
- Explicit constructions in the classical mean squares problem in irregularities of point distribution
- Optimal L2discrepancy bounds for higher order digital sequences over the finite field F2
- Exponential Squared Integrability of the Discrepancy Function in Two Dimensions
- Equidistribution Properties of Generalized Nets and Sequences
- Harmonic analysis on totally disconnected groups and irregularities of point distributions
- Explicit constructions of point sets and sequences with low discrepancy
- Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions
- Discrepancy of Hammersley points in Besov spaces of dominating mixed smoothness
- Walsh Spaces Containing Smooth Functions and Quasi–Monte Carlo Rules of Arbitrary High Order
- On irregularities of distribution, IV
- On irregularities of distribution
- Polynomial arithmetic analogue of Halton sequences
- Lp- and Sp,qrB-discrepancy of (order 2) digital nets
- Discrepancy and integration in function spaces with dominating mixed smoothness
- Introduction to Quasi-Monte Carlo Integration and Applications
- Discrepancy of generalized Hammersley type point sets in Besov spaces of dominating mixed smoothness
- Irregularities of distribution, VII
- On irregularities of distribution
- Numerical integration and discrepancy, a new approach
- Geometric discrepancy. An illustrated guide
- \(L_p\)- and \(S_{p, q}^r B\)-discrepancy of the symmetrized van der Corput sequence and modified Hammersley point sets in arbitrary bases
This page was built for publication: DISCREPANCY OF SECOND ORDER DIGITAL SEQUENCES IN FUNCTION SPACES WITH DOMINATING MIXED SMOOTHNESS