Discrepancy and approximation of absolutely continuous measures with atomic measures
Abstract We prove several results concerning the discrepancy, tested on balls in the d -dimensional torus $$\mathbb {T}^{d}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>T</mml:mi> </mml:mrow> <mml:mi>d</mml:mi> </mml:msup> </mml:math> , between absolutely continuous measures and finite atomic measures.
Authors
- Luca Brandolini (ORCID: https://orcid.org/0000-0002-9670-9051)
- Leonardo Colzani
- Giancarlo Travaglini (ORCID: https://orcid.org/0000-0002-7405-0233)
Institutions
- University of Bergamo (IT)
- University of Milano-Bicocca (IT)
Publication Details
- Journal
- Journal of Geometric Analysis
- Published
- 2025-02-12
- DOI
- https://doi.org/10.1007/s12220-025-01935-3
- Primary Topic
- Mathematical Approximation and Integration
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Università degli Studi di Milano
- Università degli Studi di Milano-Bicocca