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Discrepancy and convex programming. (English) Zbl 0281.10027

##### MSC:
 11K06 General theory of distribution modulo $$1$$ 11J71 Distribution modulo one 52A05 Convex sets without dimension restrictions (aspects of convex geometry) 90C25 Convex programming
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##### References:
 [1] Bhattacharya, R. N., Rates of weak convergence for the multidimensional central limit theorem, Theor. Probability Appl., 15, 68-86 (1970) · Zbl 0216.46302 [2] Hlawka, E., Discrepancy and uniform distribution of sequences, Compositio Math., 16, 83-91 (1964) · Zbl 0139.27903 [3] Hlawka, E., Uniform distribution modulo 1 and numerical analysis, Compositio Math., 16, 92-105 (1964) · Zbl 0146.27602 [4] Korobov, N. M., Teoretikočislovye metody w riblizhennom analize (Numbertheoretical methods in numerical analysis) (1963), Moscow: Fizmatgiz, Moscow [5] Niederreiter, H., Almost-arithmetic progressions and uniform distribution, Trans. Amer. Math. Soc., 161, 283-292 (1971) · Zbl 0219.10040 [6] O’Neil, P. E., A new criterion for uniform distribution, Proc. Amer. Math. Soc., 24, 1-5 (1970) · Zbl 0224.10054 [7] Zaremba, S. K., The mathematical basis of Monte Carlo and quasi-Monte Carlo methods, SIAM Rev., 10, 303-314 (1968) [8] Zaremba, S. K., La discrépance isotrope et l’intégration numérique, Ann. Mat. Pura Appl., 37, IV, 125-136 (1970) · Zbl 0212.17601
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