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A minimax problem about unit vectors in the plane
- Authors
- Kim, SH (Kim, SH)
- Issue Date
- Apr-2002
- Publisher
- ELEMENT
- Citation
- MATHEMATICAL INEQUALITIES APPLICATIONS, v.5, no.2, pp 305 - 313
- Pages
- 9
- Journal Title
- MATHEMATICAL INEQUALITIES APPLICATIONS
- Volume
- 5
- Number
- 2
- Start Page
- 305
- End Page
- 313
- ISSN
- 1331-4343
- Abstract
- For n greater than or equal to 2, we obtain the extremal values of the minimax problem for exponential sums mu(n) := min max(\x\=1){\Sigma(k=0)(n-1)x(k)\, \Sigma(k=0)(n-1)x(kn)\}. Moreover, we show that the polynomial with coefficients 0 and 1 derived from mu(n) does not have zeros on the unit circle.
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