A Priori L 2-Error Estimates for Approximations of Functions on Compact Manifolds
نویسندگان
چکیده
منابع مشابه
A Priori L2-error Estimates for Approximations of Functions on Compact Manifolds
Given a C-function f on a compact riemannian manifold (X, g) we give a set of frequencies L = Lf (ε) depending on a small parameter ε > 0 such that the relative L-error ‖f−f ‖ ‖f‖ is bounded above by ε, where f L denotes the L-partial sum of the Fourier series f with respect to an orthonormal basis of L(X) constituted by eigenfunctions of the Laplacian operator ∆ associated to the metric g.
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2014
ISSN: 1660-5446,1660-5454
DOI: 10.1007/s00009-014-0393-2