×
Eichner, L.

Existence of best nonlinear \(L_p\)-approximations. (English) Zbl 0447.41022

Numer. Funct. Anal. Optimization 2, 421-439 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0447.41022

MSC:

41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A50 Best approximation, Chebyshev systems
41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
34A30 Linear ordinary differential equations and systems

Keywords:

Lp-approximation problem; linear differential equations; global existence theorem; generalized exponential approximation
Cite Review PDF
Full Text: DOI

References:

[1] Besthehorn M., Dissertation (1975)
[2] Bestehorn M., Schriftenreihe des Rechenzentrums der Universität Münster Nr. (1977)
[3] De Boor C., Approximation with Special Emphasis on Spline Functions pp 157– (1969)
[4] Efimov N. V., Soviet. Math. Dokl. 2 pp 1226– (1961)
[5] Eichner, L. 1977. Approximation by Ratios of Exponentials. Constructive Function Theory. June1977, Sofia. Proceedings Blagoevgrad. (in print)
[6] Haines L. H., J. Math. Anal. Appl. 21 pp 277– (1968) · Zbl 0155.12903 · doi:10.1016/0022-247X(68)90213-8
[7] Hoffmann K. -H., Lecture Notes in Mathematics Nr. 556 pp 237– (1976) · doi:10.1007/BFb0087411
[8] Janben P., Dissertation (1970)
[9] Mosevich J. W., Math. Comp. 31 pp 139– (1977)
[10] Schmidt E., J. Approx. Th. 3 pp 445– (1970) · Zbl 0212.09103 · doi:10.1016/0021-9045(70)90045-6
[11] Singer I., Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces (1970) · Zbl 0197.38601 · doi:10.1007/978-3-662-41583-2
[12] Werner H., Approximation Theory pp 109– (1970)
[13] Zedek M., Israel J. Math. 3 pp 81– (1965) · Zbl 0139.03705 · doi:10.1007/BF02760031
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.