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Interpolation by periodic splines with Birkhoff knots

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Summary

We give a complete characterization of the Hermite interpolation problem by periodic splines with Birkhoff knots. As a dual result we derive the characterization of the Birkhoff interpolation by periodic splines with multiple knots.

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Sponsored by the Bulgarian Ministry of Education and Science under Contract No. MM-15

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Bojanov, B. Interpolation by periodic splines with Birkhoff knots. Numer. Math. 65, 63–75 (1993). https://doi.org/10.1007/BF01385740

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