Local Fractal Functions and Function Spaces

DOI10.1007/978-3-319-08105-2_16zbMath1317.28016arXiv1309.0243OpenAlexW1515997631MaRDI QIDQ5258935

Peter R. Massopust

Publication date: 24 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0243

zbMATH Keywords

Sobolev spaceLebesgue spaceattractorHölder spacefractal functionfractal interpolationiterated function system (IFS)local iterated function systemRead-Bajraktarević operator

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Function spaces arising in harmonic analysis (42B35) Interpolation in approximation theory (41A05) Fractals (28A80) Approximation by other special function classes (41A30)

Related Items (5)

Clifford-valued fractal interpolation ⋮ On local fractal functions in Besov and Triebel-Lizorkin spaces ⋮ Local Fractal Interpolation on Unbounded Domains ⋮ Associate fractal functions in \(\mathcal{L}^p\)-spaces and in one-sided uniform approximation ⋮ Fractal convolution: A new operation between functions

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