Displaying similar documents to “On counterexamples in multivariate approximation”

On the approximation by compositions of fixed multivariate functions with univariate functions

Vugar E. Ismailov (2007)

Studia Mathematica

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The approximation in the uniform norm of a continuous function f(x) = f(x₁,...,xₙ) by continuous sums g₁(h₁(x)) + g₂(h₂(x)), where the functions h₁ and h₂ are fixed, is considered. A Chebyshev type criterion for best approximation is established in terms of paths with respect to the functions h₁ and h₂.

The theory of uniform approximation I. Non-asymptotic theoretical problems

S. Paszkowski

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CONTENTSIntroduction..................................................................................................................................................................................... 3CHAPTER I. Basic properties of the best polynomials1. Existence, uniqueness and the characteristic properties of the best polynomials............................................................................... 62. The direct application of the theorem concerning the (n, F)-points to...