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Asymptotic formulae of multivariate Bernstein approximation

✍ Scribed by Ming-Jun Lai

Book ID
107777128
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
469 KB
Volume
70
Category
Article
ISSN
0021-9045

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Let (r), r=1, 2, ... be a positive decreasing sequence such that r=1 (r) k diverges. Using a powerful variance argument due to Schmidt, an asymptotic formula is obtained for the number of integer solutions q of the system of Diophantine inequalities max[&qx i &: which holds for almost all points (x