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On an Inequality of A. Grothendieck Concerning Operators on1

✍ Scribed by Haskell Rosenthal


Book ID
110279093
Publisher
Springer
Year
1998
Tongue
English
Weight
155 KB
Volume
2
Category
Article
ISSN
1385-1292

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On an Inequality of ErdΕ‘s and TurΓ‘n Conc
✍ I.Z. Ruzsa πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 126 KB

A famous inequality of ErdΓΆs and TurΓ‘n estimates the discrepancy \(\Delta\) of a finite sequence of real numbers by the quantity \(B=\min _{K} K^{-1}+\sum_{k=1}^{K-1}\left|\alpha_{k}\right| / k\), where the \(\alpha_{k}\) are the Fourier coefficients. We investigate how bad this estimate can be. We