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- W4302401504 abstract "We study multivariate approximation defined over tensor product Hilbert spaces. The domain space is a weighted tensor product Hilbert space with exponential weights which depend on two sequences $boldsymbol{a}={a_j}_{jinmathbb{N}}$ and $boldsymbol{b}={b_j}_{jinmathbb{N}}$ of positive numbers, and on a bounded sequence of positive integers $boldsymbol{m}={m_j}_{jinmathbb{N}}$. The sequence $boldsymbol{a}$ is non-decreasing and the sequence $boldsymbol{b}$ is bounded from below by a positive number. We find necessary and sufficient conditions on $boldsymbol{a},boldsymbol{b}$ and $boldsymbol{m}$ to achieve the standard and new notions of tractability in the worst case setting." @default.
- W4302401504 created "2022-10-06" @default.
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- W4302401504 date "2015-02-11" @default.
- W4302401504 modified "2023-09-23" @default.
- W4302401504 title "Tractability of Multivariate Approximation Defined over Hilbert Spaces with Exponential Weights" @default.
- W4302401504 doi "https://doi.org/10.48550/arxiv.1502.03286" @default.
- W4302401504 hasPublicationYear "2015" @default.
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