Spline orthogonal systems and fractal functions

DOI10.1007/BF01874346zbMath0833.42016MaRDI QIDQ1897510

Zbigniew Ciesielski

Publication date: 18 March 1996

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

splinesbox dimensionfractal dimensionorthogonal systementropy dimensiondyadic partitionsFourier spline series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fractals (28A80) Spline approximation (41A15)

Related Items (1)

Analysis of a fractal boundary: the graph of the Knopp function

Cites Work

• Unnamed Item
• Geometrical dimension versus smoothness
• Constructive function theory and spline systems
• Construction of an orthonormal basis in $C^{m}(I^{d})$ and $W^{m}_{p}(I^{d})$
• Properties of the orthonormal Franklin system

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