Simultaneous Approximations for Functions in Sobolev Spaces by Derivatives of Polyharmonic Cardinal Splines
نویسندگان
چکیده
منابع مشابه
Orthogonality of Cardinal B-Splines in Weighted Sobolev Spaces
The cardinal B-splines Bj,n, j ∈ Z, of order n form an orthonormal sequence in the Sobolev space Hn−1,2(R) endowed with the norm ‖f‖2 ω(n) := ∑n−1 μ=0 ωμ(n)‖∂f‖ for certain positive weights ωμ(n). These weights are specified explicitly. Further, an application to approximation theory is discussed.
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1999
ISSN: 0021-9045
DOI: 10.1006/jath.1999.3360