Histopolating splines |
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Authors: | Ralf Siewer |
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Institution: | aBahnhofsplatz 1, 57368 Lennestadt, Germany |
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Abstract: | Given an integrable function f, we are concerned with the construction of a spline Hn(f) of degree n with prescribed knots that satisfies the histopolation conditionsfor some fixed . Additionally, the resulting spline operator should be local and reproduce all polynomials of degree n. Our approach of generating such a histospline is based on a local spline interpolation operator that is exact for all polynomials of degree n. |
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Keywords: | Splines Histopolation |
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