PCF self-similar sets and fractal interpolation

DOI10.1016/j.matcom.2013.04.017zbMath1499.28010OpenAlexW2069471835MaRDI QIDQ2227397

Manuel Díaz-Carrillo, Juan Fernández-Sánchez, Enrique de Amo

Publication date: 15 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2013.04.017

zbMATH Keywords

iterated function systemself-similar structureharmonic function on a fractalpost critically finite set

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Fractals (28A80)

Related Items (6)

Fractal functions on the Sierpinski gasket ⋮ Fractional calculus on fractal interpolation for a sequence of data with countable iterated function system ⋮ A remarkable fact for the box dimensions of fractal interpolation curves of \(\mathbb{R}^3\) ⋮ Harmonic analysis on the Sierpiński gasket and singular functions ⋮ Nonlinear fractal interpolation functions on the Koch curve ⋮ FRACTAL INTERPOLATION FUNCTIONS ON AFFINE FRACTAL INTERPOLATION CURVES

Cites Work

• Fractal interpolation on the Koch curve
• Fractal functions and interpolation
• Generalization of Hermite functions by fractal interpolation
• A new approximation procedure for fractals
• De Rham's singular function and related functions
• Iterated function systems and the global construction of fractals
• Harmonic Calculus on P.C.F. Self-Similar Sets
• An Increasing Continuous Singular Function
• Effective resistances for harmonic structures on p.c.f. self-similar sets
• SOME RESULTS OF CONVERGENCE OF CUBIC SPLINE FRACTAL INTERPOLATION FUNCTIONS
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