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Original Articles

Approximating Polygons for Lebesgue's and Schoenberg's Space Filling Curves

Pages 361-368 | Published online: 02 Feb 2018

References

  • T. Apostol, Mathematical Analysis, 2nd ed., Addison-Wesley, Reading, MA, 1974, p. 224.
  • A. Devinatz, Advanced Calculus, Holt, Rinehart, Winston, New York, 1968, p. 253.
  • D. Hilbert, Ueber die stetige Abbildung einer Linie auf ein Flaechenstueck, Math. Ann., 38 (1891) 459–460.
  • K. Knopp, Einheitliche Erzeugung und Darstellung der Kurven von Peano, Osgood und von Koch, Arch. Math. Phys., 26 (1917) 103–115.
  • H. Lebesgue, Leçons sur l'Intégration et la Recherche des Fonctions Primitives, Gauthier-Villars, Paris, 1904, pp. 44–45.
  • Eui In Lee, Recursive Curves, PC Tech J. 3, No. 4 (April 1985) 171–174.
  • E. Netto, Beitrag zur Mannigfaltigkeitslehre, Crelle J., 86 (1879) 263.
  • G. Peano, Sur une courbe qui remplit toute une aire plane, Math. Ann., 36 (1890) 157–160.
  • I. J. Schoenberg, The Peano-Curve of Lebesgue, Bull. Amer. Math. Soc., 44 (1938) 519.
  • W. Wunderlich, Ueber Peano-Kurven, Elem. Math., 28 (1973) 1–10.

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