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Compactly supported positive definite radial functions. (English) Zbl 0837.41016

The author derives criteria for positive definiteness of radial functions with compact support. From the criteria, a series of examples defined by simple mathematical expressions are constructed. Another example is derived from odd-degree \(B\)-splines.

MSC:

41A30 Approximation by other special function classes
41A15 Spline approximation
41A25 Rate of convergence, degree of approximation
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