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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF
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.

References [Enhancements On Off] (What's this?)

  • 1. 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.
  • 3. 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
  • 4. K. S. Kretschmer, Programmes in paired spaces, Canad. J. Math. 13 (1961), 221–238. MR 0155684
  • 5. Pierre-Jean Laurent, Approximation et optimisation, Hermann, Paris, 1972 (French). Collection Enseignement des Sciences, No. 13. MR 0467080
  • 6. David G. Luenberger, Optimization by vector space methods, John Wiley & Sons, Inc., New York-London-Sydney, 1969. MR 0238472
  • 7. G. Meinardus and D. Schwedt, Nicht-lineare Approximationen, Arch. Rational Mech. Anal. 17 (1964), 297–326 (German). MR 0192255
  • 8. B. N. Pschenitschny, Notwendige Optimalitätsbegingungen, München-Wien, 1972.
  • 9. R. Tyrrell Rockafellar, Duality and stability in extremum problems involving convex functions, Pacific J. Math. 21 (1967), 167–187. MR 0211759
  • 10. 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.

Review Information:

Reviewer: Charles K. Chui
Reviewer: Joseph D. Ward
Journal: Bull. Amer. Math. Soc. 3 (1980), 1065-1069
DOI: http://dx.doi.org/10.1090/S0273-0979-1980-14857-0