Chebyshev polynomials and best rank-one approximation ratio

A Agrachev, K Kozhasov, A Uschmajew - SIAM Journal on Matrix Analysis and …, 2020 - SIAM
Chebyshev Polynomials and Best Rank-one Approximation Ratio Page 1 Copyright © by
SIAM. Unauthorized reproduction of this article is prohibited. SIAM J. MATRIX ANAL. APPL. c …

Optimum Chebyshev filter with an equalised group delay response

D Živaljević, N Stamenković… - International Journal of …, 2023 - Taylor & Francis
The first part of the paper discusses designing of the lowpass filter that gives both a constant
group delay over the passband and a sharp cut-off slope, which is one of the most difficult …

Some identities of Chebyshev polynomials arising from nonlinear differential equations

T Kim, JJ Seo, DV Dolgy - arXiv preprint arXiv:1602.05343, 2016 - arxiv.org
arXiv:1602.05343v1 [math.NT] 17 Feb 2016 Page 1 arXiv:1602.05343v1 [math.NT] 17 Feb 2016
SOME IDENTITIES OF CHEBYSHEV POLYNOMIALS ARISING FROM NON-LINEAR …

Chebyshev polynomials and best rank-one approximation ratio

A Agrachev, K Kozhasov, A Uschmajew - arXiv preprint arXiv:1904.00488, 2019 - arxiv.org
arXiv:1904.00488v2 [math.AG] 11 Mar 2020 Page 1 Chebyshev polynomials and best rank-one
approximation ratio Andrei Agrachev Khazhgali Kozhasov André Uschmajew Abstract. We …

Inequalities between height and deviation of polynomials

A Dubickas - Open Mathematics, 2021 - degruyter.com
In this paper, for polynomials with real coefficients P, Q satisfying∣ P (x)∣≤∣ Q (x)∣ for
each x in a real interval I, we prove the bound L (P)≤ c L (Q) between the lengths of P and Q …

Companion theorems to G. Szegö's inequality for pairs of coefficients of bounded polynomials

HJ Rack - Periodica Mathematica Hungarica, 2014 - Springer
We consider real univariate polynomials P_n P n of degree ≤ n≤ n from class C _n={P_n:|
P_n\left (\cos\displaystyle (ni) π n\right)| ≤ 1\; for\; 0 ≤ i ≤ n\} C n= P n:| P n cos (ni) π n|≤ 1 …