T. Erdélyi

collaborators

Showing math.CAShow all

3 papers · 1 filter

math.CA2018

The asymptotic distance between an ultraflat unimodular polynomial and its conjugate reciprocal

Tamás Erdélyi

Let $K_{n} := {p_{n} : p_{n} (z) = k = 0 \sum n a_{k} z^{k}, a_{k} \in C, ∣ a_{k} ∣ = 1} .$ A sequence $(P_{n})$ of polynomials $P_n \in {\mat…

math.CA2018

The sharp Remez-type inequality for even trigonometric polynomials on the period

Tamás Erdélyi

We prove that $t \in [- π, π] max ∣ Q (t) ∣ \leq T_{2 n} (sec (s /4)) = \frac{1}{2} ((sec (s /4) + tan (s /4))^{2 n} + (sec (s /4) - tan (s /4))^{2 n})$ for every even trigonometric polynomia…

math.CA2017

The asymptotic value of the Mahler measure of the Rudin-Shapiro polynomials

Tamás Erdélyi

In signal processing the Rudin-Shapiro polynomials have good autocorrelation properties and their values on the unit circle are small. Binary sequences with low autocorrelation coe…