Tamás Erdélyi

activity

20182020

collaborators

5 papers

math.CA2020

Do flat skew-reciprocal Littlewood polynomials exist?

Tamás Erdélyi

Polynomials with coefficients in ${- 1, 1}$ are called Littlewood polynomials. Using special properties of the Rudin-Shapiro polynomials and classical results in approximation theo…

math.CA2019

Turán-type reverse Markov inequalities for polynomials with restricted zeros

Tamás Erdélyi

Let $P_{n}^{c}$ denote the set of all algebraic polynomials of degree at most $n$ with complex coefficients. Let $D^{+} := {z \in C : ∣ z ∣ \leq 1, ℑ (z) \geq 0}$ …

math.CV2019

Arestov's theorems on Bernstein's inequality

Tamás Erdélyi

We give a simple, elementary, and at least partially new proof of Arestov's famous extension of Bernstein's inequality in $L_{p}$ to all $p \geq 0$ . Our crucial observation is that B…

math.CA2018

Reverse Markov- and Bernstein-type inequalities for incomplete polynomials

Tamás Erdélyi

Let $P_{k}$ denote the set of all algebraic polynomials of degree at most $k$ with real coefficients. Let $P_{n, k}$ be the set of all algebraic polynomials of d…

math.CA2018

Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle

Tamás Erdélyi

Let either $R_{k} (t) := ∣ P_{k} (e^{i t}) ∣^{2}$ or $R_{k} (t) := ∣ Q_{k} (e^{i t}) ∣^{2}$ , where $P_{k}$ and $Q_{k}$ are the usual Rudin-Shapiro polynomials of degree $n - 1$ with $n = 2^{k}$ . In a recent paper…