The smoothness and dimension of fractal interpolation functions

DOI10.1007/BF02662880zbMath0878.41016OpenAlexW87078738MaRDI QIDQ1349296

Gang Chen

Publication date: 15 December 1997

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02662880

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximation by other special function classes (41A30)

Related Items

Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors ⋮ Riemann Liouville fractional integral of hidden variable fractal interpolation function ⋮ MULTIVARIATE AFFINE FRACTAL INTERPOLATION ⋮ On dimension of fractal functions on product of the Sierpiński gaskets and associated measures ⋮ Stability of affine coalescence hidden variable fractal interpolation functions ⋮ Fractal interpolation functions with variable parameters and their analytical properties ⋮ SMOOTHNESS OF COALESCENCE HIDDEN-VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ The smoothness of fractal interpolation functions on \(\mathbb{R}\) and on \(p\)-series local fields ⋮ Reproducing kernel Hilbert space and coalescence hidden-variable fractal interpolation functions ⋮ SMOOTHNESS AND FRACTIONAL INTEGRAL OF HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTION WITH FUNCTION VERTICAL SCALING FACTORS

Cites Work

• The calculus of fractal interpolation functions
• Fractal functions and interpolation
• Hölder exponents and box dimension for self-affine fractal functions
• Geometrical dimension versus smoothness
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