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Autor:
Khrushchev, Sergey
Publikováno v:
In Journal of Approximation Theory March 2023 287
Autor:
Tsaroev, Bashir, Sharifulin, Ravil, Afanasyev, Alexander, Khrushchev, Sergey, Murtazaliev, Murtazali, Lovtsova, Darya, Kashapov, Robert, Ruzankin, Pavel, Mustaev, Muslim, Bogachev-Prokophiev, Alexander
Publikováno v:
Frontiers in Cardiovascular Medicine; 2024, p1-9, 9p
Publikováno v:
Comput. Methods Funct. Theory 16 (2016), no.3, 395 - 431
Given a polynomial \[ f(x)=a_0x^n+a_1x^{n-1}+\cdots +a_n \] with positive coefficients $a_k$, and a positive integer $M\leq n$, we define a(n infinite) generalized Hurwitz matrix $H_M(f):=(a_{Mj-i})_{i,j}$. We prove that the polynomial $f(z)$ does no
Externí odkaz:
http://arxiv.org/abs/1506.07379
Minimally invasive versus conventional methods for aortic root surgery: Choosing the right approach.
Autor:
Karadzha, Anastasiia, Sharifulin, Ravil, Khrushchev, Sergey, Afanasyev, Alexander, Sapegin, Andrey, Zheleznev, Sergey, Chernyavsky, Alexander, Bogachev-Prokophiev, Alexander
Publikováno v:
Asian Cardiovascular & Thoracic Annals; Jun2024, Vol. 32 Issue 5, p285-293, 9p
Publikováno v:
Journal of Approximation Theory, 164/9 (2012), 1238-1261
We extend some classical theorems in the theory of orthogonal polynomials on the unit circle to the matrix case. In particular, we prove a matrix analogue of Szeg\H{o}'s theorem. As a by-product, we also obtain an elementary proof of the distance for
Externí odkaz:
http://arxiv.org/abs/1104.4999
Autor:
Khrushchev, Sergey
Publikováno v:
In Journal of Approximation Theory May 2013 169:1-6
Publikováno v:
In Journal of Approximation Theory September 2012 164(9):1238-1261