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JAT
2002
13 years 4 months ago
2002
Let f C[-1, 1] change its convexity finitely many times, in the interval. We are interested in estimating the degree of approximation of f by polynomials which are coconvex with i...
JAT
2010
13 years 3 months ago
2010
A common problem in applied mathematics is that of finding a function in a Hilbert space with prescribed best approximations from a finite number of closed vector subspaces. In ...
JAT
2010
13 years 3 months ago
2010
We present some sufficient conditions ensuring the upper semicontinuity and the continuity of the Bregman projection operator Π g C and the relative projection operator P g C in...
JAT
2010
2010
Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
13 years 3 months ago
Abstract: Inner products of the type f, g S = f, g ψ0 + f , g ψ1 , where one of the measures ψ0 or ψ1 is the measure associated with the Jacobi polynomials, are usually referre...
JAT
2006
13 years 5 months ago
2006
Opposed to linear schemes, nonlinear function approximation allows to obtain a dimension independent rate of convergence. Unfortunately, in the presence of data noise typical algo...