Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Manfred V. Golitschek"'
Autor:
Arno B. J. Kuijlaars
Publikováno v:
Journal of Approximation Theory. 90:455-456
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d444efdc4011ef87fbdc0ebbfab4dd73
https://doi.org/10.1006/jath.1997.3143
https://doi.org/10.1006/jath.1997.3143
Autor:
Manfred v. Golitschek
Publikováno v:
Mathematische Semesterberichte.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c32e71a961f3a126954f9892f47bb1de
https://doi.org/10.1007/s00591-023-00343-4
https://doi.org/10.1007/s00591-023-00343-4
Autor:
Kuijlaars, Arno
Publikováno v:
Journal of Approximation Theory; September 1997, Vol. 90 Issue: 3 p455-456, 2p
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
https://doi.org/10.1016/j.jat.2014.02.001
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
https://doi.org/10.1007/s002110100381
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
https://doi.org/10.1007/s003650010028
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::931c574fc8b6d2efb34f919ddddb93ec
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
https://doi.org/10.1016/0021-9045(91)90008-x
Autor:
Siegel, Jonathan W.1 (AUTHOR) jus1949@psu.edu, Xu, Jinchao1 (AUTHOR)
Publikováno v:
Foundations of Computational Mathematics. Apr2024, Vol. 24 Issue 2, p481-537. 57p.
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
https://doi.org/10.1007/978-3-0348-8871-4_7
