ASCW03 | Prof. Geno Nikolov | Markov-type inequalities and extreme zeros of orthogonal polynomials

Описание: ASCW03 | Prof. Geno Nikolov | Markov-type inequalities and extreme zeros of orthogonal polynomials

Speaker: Professor Geno Nikolov (Sofia University St. Kliment Ohridski)
Date: 21st Jun 2019 - 14:20 to 15:10
Venue: INI Seminar Room 1
Title: Markov-type inequalities and extreme zeros of orthogonal polynomials
Event: (ASCW03) Approximation, sampling, and compression in high dimensional problems
Abstract: The talk is centered around the problem of finding
(obtaining  tight two-sided bounds
for)  the sharp constants in certain
Markov-Bernstein type inequalities in weighted $L_2$ norms. It turns out that,
under certain assumptions, this problem is equivalent to the estimation of the
extreme zeros of orthogonal polynomials with respect to a measure supported on
$R_{+}$.

It will be shown how classical tools like the
Euler-Rayleigh method and Gershgorin circle theorem produce surprisingly good
bounds for the extreme zeros of the Jacobi, Gegenbauer and Laguerre
polynomials. The sharp constants in the $L_2$ 
Markov inequalities with the Laguerre and Gegenbauer weight functions
and in a discrete $\ell_2$ Markov-Bernstein inequality are investigated using
the same tool.
-------------------

FOLLOW US
🌐| Website: https://www.newton.ac.uk
🎥| Main Channel:    / @isaacnewtoninstitute  
🐦| Twitter:   / newtoninstitute  
💬| Facebook:   / newton.institute  
📷| Instagram:   / isaacnewtoninstitute  
🔗| LinkedIn:   / isaac-newton-institute-for-mathematical-sc...  

SEMINAR ROOMS
🥇| INI Seminar Room 1:    / @iniseminarroom1  
🥈| INI Seminar Room 2:    / @iniseminarroom2  
🛰️| INI Satellite Events:    / @inisatellite  

ABOUT
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.

👉 Learn more about us and our events here: https://www.newton.ac.uk