Výsledky vyhledávání - "Manfred V. Golitschek"

On theL∞-norm of the orthogonal projector onto splines. A short proof of A. Shadrin’s theorem

Autor: Manfred V. Golitschek

Publikováno v: Journal of Approximation Theory. 181:30-42

The existence of a bound for the L ∞ -norm of the orthogonal projector onto splines, depending on the degree of splines, but independent of the mesh, was a long-standing conjecture by Carl de Boor. Finally, A. Yu. Shadrin solved it in 2001, but his

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f9a1c9cc5bfbda570279129b75e98a10
https://doi.org/10.1016/j.jat.2014.02.001

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Error bounds for minimal energy bivariate polynomial splines

Autor: Larry L. Schumaker, Ming-Jun Lai, Manfred V. Golitschek

Publikováno v: Numerische Mathematik. 93:315-331

We derive error bounds for bivariate spline interpolants which are calculated by minimizing certain natural energy norms.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::70fc0796a0b2f7d76d16bb0616d43212
https://doi.org/10.1007/s002110100381

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Interpolation by Polynomials and Radial Basis Functions on Spheres

Autor: W. A. Light, Manfred V. Golitschek

Publikováno v: Constructive Approximation. 17:1-18

The paper obtains error estimates for approximation by radial basis functions on the sphere. The approximations are generated by interpolation at scattered points on the sphere. The estimate is given in terms of the appropriate power of the fill dist

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ea962c59f133215a606683ff292991f5
https://doi.org/10.1007/s003650010028

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Norms of projectors onto spaces with Riesz bases

Autor: Manfred V. Golitschek

Publikováno v: Journal of Computational and Applied Mathematics. 119(1-2):209-221

Many important linear operators P :X→ S of a linear space X onto a subspace S of X are defined by the minimum problem ∥f− P f∥= min {∥f−u∥ : u∈ S } , f∈X, where the norm ∥·∥ on X is induced by an inner product. We study the L�

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Müntz-Jackson theorems in Lp(0, 1), 1 ⩽ p < 2

Autor: Manfred V. Golitschek

Publikováno v: Journal of Approximation Theory. 67:337-346

LetΛ: 0 = λ0 < λ1λ < … be an infinite sequence of positive numbers, let n ϵ N and Bp(z): = Πk − 1n (z − λk − 1p)/(z + λk+1/p). Ganelius and Newman have shown that the expression εn(Λ)p = maxy ϵ R |Bp(1 + iy)| is the approximation i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8cd8dab057bdeb60369548864d421dc
https://doi.org/10.1016/0021-9045(91)90008-x

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Interpolation by Continuous Function Spaces

Autor: Manfred V. Golitschek

Publikováno v: Multivariate Approximation and Splines ISBN: 9783034898089

Let U ⊂ C(D) be an arbitrary n-dimensional linear subspace of continuous functions on a compact set D ⊂ ℝS. We construct interpolation operators L : C(D) → U which have an operator norm ≥ √n — 1.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::19f1a4907c2baebb0149275fd832419a
https://doi.org/10.1007/978-3-0348-8871-4_7

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