Optimal algorithms for doubly weighted approximation of univariate functions
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Publication:892175
DOI10.1016/J.JAT.2015.08.007zbMath1329.41021OpenAlexW2179221244MaRDI QIDQ892175
Frances Y. Kuo, Leszek Plaskota, Grzegorz W. Wasilkowski
Publication date: 18 November 2015
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2015.08.007
Related Items (3)
On alternative quantization for doubly weighted approximation and integration over unbounded domains ⋮ A kind of sharp Wirtinger inequalities ⋮ Doubly weighted sharp Wirtinger inequalities on \(\mathbb{R}_+\)
Cites Work
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- Efficient algorithms for multivariate and \(\infty\)-variate integration with exponential weight
- Average case complexity of weighted approximation and integration over \(\mathbb R_{+}\)
- Randomly shifted lattice rules for unbounded integrands
- On equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_1\) or \(L_\infty\)
- Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands
- Deterministic and stochastic error bounds in numerical analysis
- Worst case complexity of weighted approximation and integration over \(\mathbb{R}^d\)
- Optimal designs for weighted approximation and integration of stochastic processes on \([0,\infty)\)
- Complexity of weighted approximation over \(\mathbb{R}\)
- Fast CBC construction of randomly shifted lattice rules achieving \(\mathcal{O}(n^{- 1 + \delta})\) convergence for unbounded integrands over \(\mathbb{R}^s\) in weighted spaces with POD weights
- Tractability of approximation of \(\infty\)-variate functions with bounded mixed partial derivatives
- Sampling numbers and function spaces
- An Adaptive Algorithm for Weighted Approximation of Singular Functions over $\mathbb{R}$
- The best accuracy of reconstruction of finitely smooth functions from their values at a given number of points
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