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A result on the mean square error obtained using general tracking algorithms

โœ Scribed by Lennart Ljung; Pierre Priouret

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
755 KB
Volume
5
Category
Article
ISSN
0890-6327

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On a Weighted Mean Square Result of the
On a Weighted Mean Square Result of the Error Terms of Some Arithmetical Functions
โœ Yuk-Kam Lau ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 169 KB

Let a(n) be an arithmetical function satisfying some conditions and write $ n x a(n)=main term+E(x). We obtain an asymptotic formula for a weighted mean square of the error term for some constants \_ 0 and c, by modifying a method that seems due to Titchmarsh. This method utilizes the following too