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Lipschitz-Nikolski(imath )constants and asymptotic simultaneous approximation on theMn-operatorsconstants and asymptotic simultaneous approximation on theMn-operators

✍ Scribed by R. K. S. Rathore

Book ID: 105326476
Publisher: Springer
Year: 1978
Tongue: English
Weight: 339 KB
Volume: 18
Category: Article
ISSN: 0001-9054
DOI: 10.1007/bf01844075

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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