-continuity of the generalized four-point scheme |
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Authors: | Jochen Hechler Bernhard Mßner Ulrich Reif |
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Institution: | aTU Darmstadt, Fachbereich Mathematik, AG3, Schlossgartenstr. 7, 64289 Darmstadt, Germany |
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Abstract: | We show that the interpolatory four-point-scheme with tension parameter ω generates C1-limit curves if and only if 0<ω<ω*, where ω*≈0.19273 is the unique real solution of the cubic equation 32ω3+4ω-1=0. |
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Keywords: | Four-point scheme Tension parameter Smoothness |
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