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Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices

โœ Scribed by P.N. Shivakumar; Chuanxiang Ji

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
881 KB
Volume
247
Category
Article
ISSN
0024-3795

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Upper and Lower Bounds for Finite Bh[g]
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โœ Javier Cilleruelo; Imre Z. Ruzsa; Carlos Trujillo ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 113 KB

We give a non-trivial upper bound for F h รฐg; Nรž, the size of a B h ยฝg subset of f1; . . . ; Ng, when g > 1. In particular, we prove F 2 รฐg; Nรž41:864รฐgNรž 1=2 รพ 1, and F h รฐg; Nรž4 1 รฐ1รพcos h รฐp=hรžรž 1=h รฐhh!gNรž 1=h , h > 2. On the other hand, we exhibit B 2 ยฝg subsets of f1; . . .