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Bivariate interpolation by (m,n)-splines

Author: I. Georgieva

We study the problem of interpolation and approximation of bivariate functions by $(m,n)$-splines, that is, by functions $\phi (x,y)$ for which $\phi ^{(m,n)}(x,y)$ is a piece-wise constant.

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Keywords: Radon transform, reconstruction, multyvariate polynomials, interpolation
2000 MSC: 41A63, 41A10, 65D15, 65T99