Numerical integration of affine fractal functions

DOI10.1016/j.cam.2012.09.029zbMath1288.65029OpenAlexW2158771996MaRDI QIDQ2453145

M. A. Navascués, M. V. Sebastián

Publication date: 6 June 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.09.029

zbMATH Keywords

numerical integrationfractalsquadraturefractal interpolation functionsaffinities

Mathematics Subject Classification ID

Fractals (28A80) Numerical integration (65D30)

Related Items (4)

DEFINITE INTEGRAL OF α-FRACTAL FUNCTIONS ⋮ Affine zipper fractal interpolation functions ⋮ Selected papers on computational and mathematical methods in science and engineering (CMMSE) ⋮ ALGORITHM TO CALCULATE THE FRACTAL DIMENSION AND NUMERICAL INTEGRATION OF FLUCTUATING CONTINUOUS FUNCTIONS

Cites Work

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• Fractal functions and interpolation
• The Lyapunov dimension of a nowhere differentiable attracting torus
• Spectral and affine fractal methods in signal processing
• FITTING CURVES BY FRACTAL INTERPOLATION: AN APPLICATION TO THE QUANTIFICATION OF COGNITIVE BRAIN PROCESSES
• The Hausdorff dimension of graphs of Weierstrass functions
• Error bounds for affine fractal interpolation

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