T. Erdélyi

activity

20102022

most citedChebyshev constants for the unit circle

20 citations · 21 across the 10 of their papers we have counts for

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math.MG2010★ 20 cited

Chebyshev constants for the unit circle

Gergely Ambrus, Keith M. Ball, T. Erdélyi

It is proven that for any system of n points z_1, ..., z_n on the (complex) unit circle, there exists another point z of norm 1, such that $\sum 1/∣ z - z_{k} ∣^{2} \leq n^{2} /4.$ Equality…

math.CA2010

The size of exponential sums on intervals of the real line

Tamás Erdélyi, Kaveh Khodjasteh, Lorenza Viola

We prove that there is a constant $c > 0$ depending only on $M \geq 1$ and $μ \geq 0$ such that $\int_{y}^{y + a} ∣ g (t) ∣ d t \geq exp (- c / (a δ)), a \in (0, π],$ for every $g$ of…