Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials. (English) Zbl 1221.42002
Proofs of well-known results are given (see, for instance, [N. P. Kornejchuk, A. A. Ligun and V. G. Doronin, Approximation with constraints. Kiev: Naukova Dumka (1982; Zbl 0531.41001), Sect. 3.4] about the best (one-sided) approximation by trigonometric polynomials in \(L^1\) of the Bernoulli functions. As an application, the author provides the corresponding estimates for the discrepancies of finite sets and bounds for certain Hermitian forms.
Reviewer: Alexei Lukashov (Istanbul)
MSC:
| 42A10 | Trigonometric approximation |
Citations:
Zbl 0531.41001References:
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