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Interpolation by cardinal trigonometric splines. (English) Zbl 1214.42005

Summary: Univariate and bivariate trigonometric splines of arbitrary parameters with compact supports are formulated by integral iterations. The approximation properties of trigonometric splines are explored. Furthermore, cardinal trigonometric splines on small compact supports are constructed and interpolation properties are established.

MSC:

42A20 Convergence and absolute convergence of Fourier and trigonometric series
65D07 Numerical computation using splines
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