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Numerical integration of Hölder continuous, absolutely convergent Fourier, Fourier cosine, and Walsh series

  • Published:2014-07 Issue: Volume:183 Page:14-30
  • ISSN:0021-9045
  • Container-title:Journal of Approximation Theory
  • language:en
  • Short-container-title:Journal of Approximation Theory

Author:

Dick Josef

Funder

ARC Queen Elizabeth II Fellowship

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference33 articles.

1. Algorithmic Number Theory. Vol. 1. Efficient Algorithms;Bach,1996

2. Mordell’s exponential sum estimate revisited;Bourgain;J. Amer. Math. Soc.,2005

3. Bounds for exponential sums;Carlitz;Duke Math. J.,1957

4. Bounds on complete exponential sums;Cochrane,1996

5. High-dimensional integration: the quasi-Monte Carlo way;Dick;Acta Numer.,2013

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2. On the information complexity for integration in subspaces of the Wiener algebra;Journal of Complexity;2024-04

3. Optimal Algorithms for Numerical Integration: Recent Results and Open Problems;Springer Proceedings in Mathematics & Statistics;2024

4. Polynomial tractability for integration in an unweighted function space with absolutely convergent Fourier series;Proceedings of the American Mathematical Society;2023-05-25

5. On Generalizations of $p$-Sets and their Applications;Numerical Mathematics: Theory, Methods and Applications;2019-06
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