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The Peano curve of Schoenberg is nowhere differentiable. (English) Zbl 0498.26004


MSC:

26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives

Citations:

Zbl 0019.15901
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Full Text: DOI

References:

[1] Hardy, G. H., Weierstrass’s non differentiable function, Trans. Amer. Math. Soc., 17, 301-325 (1916) · JFM 46.0401.03
[2] Peano, G., Sur une courbe qui remplit toute une aire plane, Math. Ann., 36, 157-160 (1890) · JFM 22.0405.01
[3] Schoenberg, I. J., On the Peano curve of Lebesgue, Bull. Amer. Math. Soc., 44, 519 (1938) · Zbl 0019.15901
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