A famous inequality of Erdös and Turán 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
An extension of some inequalities of P. Erdős and P. Turán concerning algebraic polynomials
✍ Scribed by B. Underhill; A. K. Varma
- Publisher
- Akadmiai Kiad
- Year
- 1996
- Tongue
- English
- Weight
- 845 KB
- Volume
- 73
- Category
- Article
- ISSN
- 1588-2632
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