Titlebook: Constructive Approximation; Special Issue: Fract Ronald A. DeVore,Edward B. Saff Book 1989 Springer Science+Business Media New York 1989 an

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,Newton’s Method for Fractal Approximation,The problem of fitting a given function in the .. norm with a function generated by an iterated function system can be rapidly solved by applying Newton’s method on the parameter space of the iterated function system. The key to this is a method for calculating the derivatives of a potential function with respect to the parameters.

AWL

Interpolating and Orthogonal Polynomials on Fractals,he Cantor set or von Koch’s curve, but . may also be a closed Lipschitz domain. We investigate interpolation to smooth functions on . where the points of interpolation belong to .. We also consider orthogonal polynomials on . ∩ ., where . is a ball with center in ., and their relation to spaces of smooth functions on ..

毗邻

大看台

invulnerable

TRACE

Assault

Proclaim

Joonho Hyun,Doojin Choi,Sukil Kimhe Cantor set or von Koch’s curve, but . may also be a closed Lipschitz domain. We investigate interpolation to smooth functions on . where the points of interpolation belong to .. We also consider orthogonal polynomials on . ∩ ., where . is a ball with center in ., and their relation to spaces of s

locus-ceruleus

Recurrent Iterated Function Systems,th some zeros in the transition probability matrix) is used to drive a system of maps ..: .→ . = 1, 2,…, ., where . is a complete metric space. It is proved that under “average contractivity,” a convergence and ergodic theorem obtains, which extends the results of Barnsley and Elton [BE]. It is also

枫树

,Hölder Exponents and Box Dimension for Self-Affine Fractal Functions,ings, and we extend their definition to allow the use of nonlinear scalings. The Hölder exponent, ., for these fractal functions is calculated and we show that there is a larger Hölder exponent, .., defined at almost every point (with respect to Lebesgue measure). For a class of such functions defin