Document Zbl 0251.41010

Kritische Punkte bei der nichtlinearen Tschebyscheff-Approximation. (German) Zbl 0251.41010

Math. Z. 132, 327-341 (1973).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0251.41010

MSC:

41A50	Best approximation, Chebyshev systems
41A65	Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
58E05	Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces

Cite Review PDF

Full Text: DOI EuDML

References:

[1]	Braess, D.: Chebyshev approximation by ?-polynomials. J. Approximation Theory 1973 · Zbl 0235.41007
[2]	Braess, D.: Chebyshev approximation by ?-polynomials, II. J. Approximation Theory · Zbl 0235.41008
[3]	Braess, D.: On the number of best approximations in certain non-linear families of functions. Aequationes math. (erscheint demnächst)
[4]	Braess, D.: Morse Theory für berandete Mannigfaltigkeiten · Zbl 0263.58005
[5]	Brosowski, B., Wegmann, R.: Charakterisierung bester Approximationen in normierten Räumen. J. Approximation Theory3, 369-379 (1970) · Zbl 0203.12103 · doi:10.1016/0021-9045(70)90041-9
[6]	Cheney, E. W.: Introduction to approximation theory. New York: Mc Graw-Hill 1966 · Zbl 0161.25202
[7]	Deutsch, F., Maserick, P.: Applications of the Hahn-Banach Theorem in Approximation Theory. SIAM Review9, 516-530 (1967) · Zbl 0166.10501 · doi:10.1137/1009072
[8]	Dubovickii, A. Ja., Miljutin, A. A.: Extremum problems in the presence of restrictions. U.S.S.R. Comput. Math. math. Physics5, Nr. 3, 1-80 (1965) · Zbl 0158.33504 · doi:10.1016/0041-5553(65)90148-5
[9]	Meinardus, G.: Approximation von Funktionen und ihre numerische Behandlung. Berlin-Göttingen-Heidelberg-New York: Springer 1964. · Zbl 0124.33103
[10]	Meinardus, G., Schwedt, D.: Nichtlineare Approximation. Arch. rat. Mech. Analysis17, 297-326 (1964) · Zbl 0127.29001 · doi:10.1007/BF00282292
[11]	Milnor, J.: Morse Theory. Princeton: University Press 1963
[12]	Milnor, J.: Topology from the differentiable viewpoint. Charlottesville: University Press of Virginia, 1965 · Zbl 0136.20402
[13]	Palais, R. S.: Critical point theory and the minimax principle. In: Global Analysis. Proceedings of Symposia in Pure Mathematics XV, pp. 185-212. Providence: American Mathematical Society 1970 · Zbl 0212.28902
[14]	Schmidt, E.: A note on Chebyshev approximation from a cone (nicht veröffentlicht)
[15]	Wulbert, D.: Uniqueness and differential characterization of approximations from manifolds of functions. Amer. J. Math.93, 350-366 (1971) · Zbl 0227.41009 · doi:10.2307/2373381
[16]	Wulbert, D.: Nonlinear approximation with tangential characterization. Amer. J. Math.93, 718-730 (1971) · Zbl 0227.41010 · doi:10.2307/2373467

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.