Titlebook: Approximation Theory, Spline Functions and Applications; S. P. Singh Book 1992 Springer Science+Business Media Dordrecht 1992 Invariant.Ma

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,Knochenmetastasen bösartiger Geschwülste,e of the continuity constants. It follows that in the equivalence of Markov and Sobolev type inequalities given in [2], the quotient norm may be replaced by the usual norm in case E is Whitney p-regular.

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Phototropismus und Wachstum der Pflanzen,This paper summarizes four expository lectures on these topics: (1) Interpolation on the circle, (2) Interpolation on higher-dimensional spheres, (3) Interpolation on Euclidean spaces, and (4) Ridge functions.

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Die Chirurgie des vegetativen Nervensystems,Weighted polynomials are functions of the form where.(.)...(.), . ≥ 1, where .(.) is a nonnegative continuous function on a closed set . ⊂ ℝ, and the .. are algebraic polynomials of degree ≤ n. Our main interest is to characterize those functions . which are uniformly approximable on . by the weighted polynomials.

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https://doi.org/10.1007/978-3-642-94661-5Rates of convergence of certain approximation methods are given for functions whose smoothness is measured in terms of the second modulus of continuity.

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Ergebnisse der Chirurgie und OrthopädieThe authors consider two procedures of Hermite and Hermite-Fejér interpolation based on the zeros of Jacobi polynomials plus additional nodes and prove that such procedures can always well approximate a function and its derivatives simultaneously.

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Approximation By Functions of Nonclassical Form,This paper summarizes four expository lectures on these topics: (1) Interpolation on the circle, (2) Interpolation on higher-dimensional spheres, (3) Interpolation on Euclidean spaces, and (4) Ridge functions.