\(\ell^1\)-summability and Fourier series of B-splines with respect to their knots
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Publication:6123043
DOI10.1007/s00209-024-03440-9arXiv2208.02167OpenAlexW4391915107MaRDI QIDQ6123043
Janin Jäger, Martin D. Buhmann, Yuan Xu
Publication date: 4 March 2024
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.02167
Spline approximation (41A15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)
Cites Work
- On multivariate de la Vallée Poussin-type projection operators
- \(\ell _{1}\)-summability of higher-dimensional Fourier series
- Strictly positive definite kernels on the torus
- Christoffel functions and Fourier series for multivariate orthogonal polynomials
- Fejér means for multivariate Fourier series
- Lebesgue points of \(\ell_1\)-Cesàro summability of \(d\)-dimensional Fourier series
- On multivariate projection operators
- l-1 summability of multiple Fourier integrals and positivity
- Summability of Multi-Dimensional Trigonometric Fourier Series
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