On the minimum modulus of trigonometric polynomials
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- by George Benke PDF
- Proc. Amer. Math. Soc. 114 (1992), 757-761 Request permission
Abstract:
For all even integers $N$ greater than 2, a trigonometric polynomial ${f_N}(x) = \sum \nolimits _{k = - N}^{{N^2}} {{a_k}{e^{ikx}}}$ satisfying $|{a_k}|\; \leq \;1$ and $0.47N \leq |{f_N}(x)| \leq N$ is constructed.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 757-761
- MSC: Primary 42A05; Secondary 30C10
- DOI: https://doi.org/10.1090/S0002-9939-1992-1069683-5
- MathSciNet review: 1069683