A FRACTAL APPROXIMATION TO PERIODICITY

DOI10.1142/S0218348X06003283zbMath1148.28010MaRDI QIDQ3510233

M. A. Navascués

Publication date: 2 July 2008

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

iterated function systemtrigonometric approximationfractal functionnon-smooth interpolant

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fractals (28A80) Approximation by other special function classes (41A30)

Related Items (10)

Riemann-Liouville calculus on quadratic fractal interpolation function with variable scaling factors ⋮ CONSTRUCTION OF NEW AFFINE AND NON-AFFINE FRACTAL INTERPOLATION FUNCTIONS THROUGH THE WEYL–MARCHAUD DERIVATIVE ⋮ SURFACE FITTING AND ERROR ANALYSIS USING FRACTAL INTERPOLATION ⋮ Fractal interpolation functions with partial self similarity ⋮ TOWARDS A MORE GENERAL TYPE OF UNIVARIATE CONSTRAINED INTERPOLATION WITH FRACTAL SPLINES ⋮ Reconstruction of sampled signals with fractal functions ⋮ AUTOCOVARIANCE AND INCREMENTS OF DEVIATION OF FRACTAL INTERPOLATION FUNCTIONS FOR RANDOM DATASETS ⋮ BOX DIMENSION OF A NONLINEAR FRACTAL INTERPOLATION CURVE ⋮ Fractal interpolation on a torus ⋮ FRACTAL TRIGONOMETRIC POLYNOMIALS FOR RESTRICTED RANGE APPROXIMATION

Cites Work

• Fractal functions and interpolation
• The theory of best approximation of functions
• Generalization of Hermite functions by fractal interpolation
• FITTING CURVES BY FRACTAL INTERPOLATION: AN APPLICATION TO THE QUANTIFICATION OF COGNITIVE BRAIN PROCESSES
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