Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1567294
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
W. Krabs
Title:
Optimization and approximation
Additional book information:
translated by Philip M. Anselone and Ronald B. Guenther, John Wiley and Sons, Chichester-New York-Brisbane-Toronto, 1979, xii + 220 pp., $28.95.
Richard B. Holmes, A course on optimization and best approximation, Lecture Notes in Mathematics, Vol. 257, Springer-Verlag, Berlin-New York, 1972. MR 0420367
2. S. Karlin, Mathematical methods and theory in games, Programming and Economics, 2 vols., Reading, Mass., 1959.
A. N. Kolmogorov, A remark on the polynomials of P. L. Čebyšev deviating the least from a given function, Uspehi Matem. Nauk (N.S.) 3 (1948), no. 1(23), 216–221 (Russian). MR 0025609
K. S. Kretschmer, Programmes in paired spaces, Canadian J. Math. 13 (1961), 221–238. MR 155684, DOI 10.4153/CJM-1961-019-2
Pierre-Jean Laurent, Approximation et optimisation, Collection Enseignement des Sciences, No. 13, Hermann, Paris, 1972 (French). MR 0467080
David G. Luenberger, Optimization by vector space methods, John Wiley & Sons, Inc., New York-London-Sydney, 1969. MR 0238472
G. Meinardus and D. Schwedt, Nicht-lineare Approximationen, Arch. Rational Mech. Anal. 17 (1964), 297–326 (German). MR 192255, DOI 10.1007/BF00282292
8. B. N. Pschenitschny, Notwendige Optimalitätsbegingungen, München-Wien, 1972.
R. Tyrrell Rockafellar, Duality and stability in extremum problems involving convex functions, Pacific J. Math. 21 (1967), 167–187. MR 211759
Josef Stoer and Christoph Witzgall, Convexity and optimization in finite dimensions. I, Die Grundlehren der mathematischen Wissenschaften, Band 163, Springer-Verlag, New York-Berlin, 1970. MR 0286498
11. J. von Neumann, Zur Theorie der Gessllschaftsspiele, Math. Ann. 100 (1928), 295-320.
- 1.
- R. Holmes, A course on optimization and best approximation, Lecture Notes in Math., vol. 257, Springer-Verlag, Berlin and New York, 1972. MR 0420367
- 2.
- S. Karlin, Mathematical methods and theory in games, Programming and Economics, 2 vols., Reading, Mass., 1959.
- 3.
- A. N. Kolmogorov, A remark on the polynomials of P. L. Čebysev deviating the least from a given function, Uspehi Mat. Nauk (N.S.) 3, no. 1 (23) (1948), 216-221. (Russian) MR 25609
- 4.
- K. S. Kretschmer, Programs in paired spaces, Canad. J. Math. 13 (1961), 221-238. MR 155684
- 5.
- P.-J. Laurent, Approximation et optimisation, Hermann, Paris, 1972. MR 467080
- 6.
- D. G. Luenberger, Optimization by vector space methods, Wiley, New York, 1969. MR 238472
- 7.
- G. Meinardus and D. Schwedt, Nicht-lineare Approximationen, Arch. Rational Mech. Anal 17 (1964), 297-326. MR 192255
- 8.
- B. N. Pschenitschny, Notwendige Optimalitätsbegingungen, München-Wien, 1972.
- 9.
- R. T. Rockafellar, Duality and stability in extremum problems involving convex functions, Pacific J. Math. 21 (1967), 167-187. MR 211759
- 10.
- J. Stoer and Chr. Witzgall, Convexity and optimization in finite dimensions. I, Die Grundlehren der Mathematischen Wissenschaften, Band 163, Springer-Verlag, Berlin-Heidelberg-New York, 1970. MR 286498
- 11.
- J. von Neumann, Zur Theorie der Gessllschaftsspiele, Math. Ann. 100 (1928), 295-320.
Review Information:
Reviewer:
Charles K. Chui
Reviewer:
Joseph D. Ward
Journal:
Bull. Amer. Math. Soc.
3 (1980), 1065-1069
DOI:
https://doi.org/10.1090/S0273-0979-1980-14857-0