Dimension preserving approximation

DOI10.1007/s00010-022-00893-3OpenAlexW4297830304WikidataQ114232187 ScholiaQ114232187MaRDI QIDQ2699700

Yanyan Li

Publication date: 19 April 2023

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.05061

zbMATH Keywords

Bernstein polynomialsHausdorff dimensionfractal functionfractal interpolationconstrained approximation

Mathematics Subject Classification ID

Fractals (28A80) Approximation by polynomials (41A10)

Related Items (4)

New type of fractal functions for the general data sets ⋮ Dimensions of new fractal functions and associated measures ⋮ A note on complex-valued fractal functions on the Sierpiński gasket ⋮ On dimension of fractal functions on product of the Sierpiński gaskets and associated measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractal approximation
• Fractal interpolation functions from \(R^ n\) into \(R^ m\) and their projections
• Fractal polynomial interpolation
• The calculus of fractal interpolation functions
• The capacity for a class of fractal functions
• Fractal functions and interpolation
• Hausdorff dimension of the graphs of the classical Weierstrass functions
• A remark on decomposition of continuous functions
• Dimension theory of some non-Markovian repellers. II: Dynamically defined function graphs
• Fractal perturbation preserving fundamental shapes: bounds on the scale factors
• Bilinear fractal interpolation and box dimension
• Hausdorff dimension of planar self-affine sets and measures
• BOX DIMENSIONS OF α-FRACTAL FUNCTIONS
• Hidden Variable Fractal Interpolation Functions
• On the Hausdorff Dimension of Some Graphs
• The Hausdorff dimension of self-affine fractals
• Approximation by Bernstein Polynomials
• On the existence of subsets of finite positive packing measure
• Set-valued analysis

This page was built for publication: Dimension preserving approximation