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The adaption problem for approximating linear operators
Author(s):
Mark A.
Kon;
Erich
Novak
Journal:
Bull. Amer. Math. Soc.
23
(1990),
159-165.
MSC (1985):
Primary 65J10, 68Q25
MathSciNet review:
1028139
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References |
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References:
- [B] N. S. Bakhvalov, On the optimality of linear methods for operator approximation in convex classes of functions, U.S.S.R. Comput. Math, and Math. Phys. 11 (1971), 244-249.
- [GM] S. Gal and C. A. Micchelli, Optimal sequential and non-sequential procedures for evaluating a functional, Appl. Anal. 10 (1980), 105-120. MR 575536
- [KW] B. Z. Kacewicz an G. W. Wasilkowski, How powerful is continuous nonlinear information for linear problems? J. Complexity 2 (1986), 306-316. MR 923024
- [K] J. Kiefer, Optimum sequential search and approximation methods under minimum regularity assumptions, SIAM J. 5 (1957), 105-136. MR 92326
- [M] P. Mathé, s-numbers in analytic complexity, Akademie der Wissenschaften der DDR, preprint.
- [PW] E. W. Packel and H. Woźniakowski, Recent developments in informationbased complexity, Bull. Amer. Math. Soc. 17 (1987), 9-36. MR 888879
- [S] A. G. Sukharev, Optimal strategies for the search for an extremum, U.S.S.R. Comput. Math, and Math. Phys. 11 (1971), 119-137. MR 297111
- [TW] J. F. Traub and H. Woźniakowsksi, A general theory of optimal algorithms, Academic Press, New York, 1980. MR 359396
- [TWW] J. F. Traub, G. W. Wasilkowski and H. Woźniakowski, Information based complexity, Academic Press, New York, 1988. MR 958691
- [ZL] N. F. Zaliznyak and A. A. Ligun, On optimum strategy in search of a global maximum of a function, U.S.S.R. Comput. Math. and Math. Phys. 18(1978), 314-321. MR 501912
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Additional Information:
DOI:
10.1090/S0273-0979-1990-15924-5
PII:
S 0273-0979(1990)15924-5
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