Approximation of multivariate periodic functions on the space with a Gaussian measure
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Publication:663645
DOI10.1016/j.jmaa.2011.10.034zbMath1242.41038OpenAlexW2017227002MaRDI QIDQ663645
Xuebo Zhai, Weigang Jiang, He Ping Wang
Publication date: 27 February 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.034
Function spaces arising in harmonic analysis (42B35) Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63)
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Cites Work
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- Probabilistic and average widths of multivariate Sobolev spaces with mixed derivative equipped with the Gaussian measure
- Approximation of functions on the Sobolev space with a Gaussian measure
- Best approximation of functions on the ball on the weighted Sobolev space equipped with a Gaussian measure
- Approximation of linear functionals on a Banach space with a Gaussian measure
- Average \(n\)-width of point set in Hilbert space
- Gaussian measures in Banach spaces
- Average \(n\)-widths of the Wiener space in the \(L_ \infty\)-norm
- Linear widths of function spaces equipped with the Gaussian measure
- \(\mu\)-average \(n\)-widths on the Wiener space
- Average error bounds of best approximation of continuous functions on the Wiener space
- Probabilistic and average linear widths of Sobolev space with Gaussian measure
- Average-case analysis of numerical problems
- Relations between classical, average, and probabilistic Kolmogorov widths
- Linear widths of a multivariate function space equipped with a Gaussian measure
- Approximation of linear operators on a Wiener space
- Probabilistic and average linear widths of Sobolev space with Gaussian measure in \(L_\infty\)-norm
- Probabilistic and average linear width in \(L_ \infty\)-norm with respect to \(r\)-fold Wiener measure
- About widths of Wiener space in the \(L_ q\)-norm
- Approximation of functions on the Sobolev space on the sphere in the average case setting
- Approximation and optimization on the Wiener space
- On the small balls problem for equivalent Gaussian measures
