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The Peano curve of Schoenberg is nowhere differentiable

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Publication:1171155
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DOI10.1016/0021-9045(81)90087-3zbMath0498.26004OpenAlexW1980335585MaRDI QIDQ1171155

James Alsina

Publication date: 1981

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90087-3


zbMATH Keywords

nondifferentiabilityspace filling curveLebesgue's Peano curvePeano curve of Schoenberg


Mathematics Subject Classification ID

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


Related Items (3)

Some reflections on the emergence of space-filling curves: The way it could have happened and should have happened, but did not happen ⋮ Pointwise smoothness of space-filling functions ⋮ Nowhere differentiability conditions on composites of Peano curves



Cites Work

  • On the Peano curve of Lebesgue


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