Construction of Fractal Bases for Spaces of Functions

DOI10.1007/978-981-10-4642-1_27zbMath1442.28009OpenAlexW2607059709MaRDI QIDQ5115010

M. V. Sebastián, S. K. Katiyar, Arya Kumar Bedabrata Chand, M. A. Navascués

Publication date: 29 June 2020

Published in: Communications in Computer and Information Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-4642-1_27

zbMATH Keywords

interpolationapproximationfractalsfractal interpolation functionsbases of functional spaces

Mathematics Subject Classification ID

Numerical interpolation (65D05) Fractals (28A80) Approximation by polynomials (41A10) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Cites Work

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• Fractal approximation
• Fractal functions and interpolation
• Functional analysis. Applications in mechanics and inverse problems.
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• A counterexample to the approximation problem in Banach spaces
• Affine fractal functions as bases of continuous functions
• FRACTAL BASES OF Lp SPACES
• Holder Conditions for Realizations of Gaussian Processes

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