Associate fractal functions in \(\mathcal{L}^p\)-spaces and in one-sided uniform approximation

DOI10.1016/j.jmaa.2015.08.012zbMath1323.28016OpenAlexW1429431313MaRDI QIDQ499172

M. A. Navascués, Arya Kumar Bedabrata Chand, Puthan Veedu Viswanathan

Publication date: 30 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.012

zbMATH Keywords

fractal functions\(\mathcal{L}^p\)-spacesbest one-sided approximationone-sided uniform approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Fractals (28A80)

Related Items (21)

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Cites Work

• Fractal approximation
• Fractal polynomial interpolation
• The calculus of fractal interpolation functions
• Fractal functions and interpolation
• Fractal functions and their applications
• Full Müntz theorem in \(L_ p[0,1\)]
• Fractal perturbation preserving fundamental shapes: bounds on the scale factors
• A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects
• Smooth fractal interpolation
• Fundamental sets of fractal functions
• Restricted Range Approximation by Splines and Variational Inequalities
• Restricted Range Approximation and Its Application to Digital Filter Design
• The Full Müntz Theorem in C [0, 1 and L ₁ [0, 1]]
• Local Fractal Functions and Function Spaces
• Generalized Cubic Spline Fractal Interpolation Functions
• One-sided approximation of functions
• On Müntz rational approximation rate in \(L^p\) spaces
• Unnamed Item

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