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Approximation by Piecewise Exponentials

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Publication:3984165
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DOI10.1137/0522111zbMath0745.41011OpenAlexW2099754615MaRDI QIDQ3984165

Junjiang Lei, Rong-Qing Jia

Publication date: 27 June 1992

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/98efc3414b7b1aebc3385468c3ce08c0684f7ce6

zbMATH Keywords

exponential box spline\(L_ p\)-approximation order


Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)


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An upper bound on the approximation power of principal shift-invariant spaces, On the approximation order of principal shift-invariant subspaces of \(L_ p(\mathbb{R}^d)\), Regularity of non-stationary subdivision: a matrix approach, Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix, Fourier analysis of the approximation power of principal shift-invariant spaces, Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces



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