Fractal functions with function scaling factors as solutions of \((0,4)\) lacunary interpolation problem

DOI10.1016/j.chaos.2015.08.028zbMath1355.41003OpenAlexW2208912429MaRDI QIDQ508496

M. A. Navascués, Puthan Veedu Viswanathan

Publication date: 7 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.08.028

zbMATH Keywords

convex optimizationlacunary interpolationapproximation orderfractal functionfunction scaling factors

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Fractals (28A80) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (1)

A fractal version of a bivariate Hermite polynomial interpolation

Cites Work

• Fractal interpolation surfaces with function vertical scaling factors
• Explicitly defined fractal interpolation functions with variable parameters
• Fractal interpolation functions with variable parameters and their analytical properties
• Fractal polynomial interpolation
• Fractal functions and interpolation
• Generalization of Hermite functions by fractal interpolation
• A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects
• FRACTAL BASES OF Lp SPACES
• Every Convex Function is Locally Lipschitz
• On the (0,4) lacunary interpolation problem and some related questions

This page was built for publication: Fractal functions with function scaling factors as solutions of \((0,4)\) lacunary interpolation problem