Approximation with Conditionally Positive Definite Kernels on Deficient Sets

نویسندگان

چکیده

Interpolation and approximation of functionals with conditionally positive definite kernels is considered on sets centers that are not determining for polynomials. It shown polynomial consistence sufficient in order to define kernel-based numerical the functional usual properties optimal recovery. Application examples include generation sparse differentiation formulas Laplacian a grid accurate function an ellipse.

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ژورنال

عنوان ژورنال: Springer proceedings in mathematics & statistics

سال: 2021

ISSN: ['2194-1009', '2194-1017']

DOI: https://doi.org/10.1007/978-3-030-57464-2_3