Asymptotic Relations for Sharp Constants of Approximation Theory

Seminar
Speaker
Prof. Michael I. Ganzburg, Hampton University, Virginia, USA
Date
20/03/2017 - 15:40 - 14:00Add to Calendar 2017-03-20 14:00:00 2017-03-20 15:40:00 Asymptotic Relations for Sharp Constants of Approximation Theory In this talk we discuss asymptotic relations between sharp constants of approximation theory in a general setting. We first present a general model that includes a circle of problems of finding sharp or asymptotically sharp constants in some areas of univariate and multivariate approximation theory, such as inequalities for approximating elements, approximation of individual elements, and approximation on classes of elements. Next we discuss sufficient conditions that imply limit inequalities and equalities between various sharp constants. Finally, we present applications of these results to sharp constants in Bernstein-V. A. Markov type inequalities of different metrics for univariate and multivariate trigonometric and algebraic polynomials and entire functions of exponential type. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

In this talk we discuss asymptotic relations between sharp constants of approximation theory
in a general setting. We first present a general model that includes a circle of problems of
finding sharp or asymptotically sharp constants in some areas of univariate and multivariate
approximation theory, such as inequalities for approximating elements, approximation of individual
elements, and approximation on classes of elements. Next we discuss sufficient conditions that
imply limit inequalities and equalities between various sharp constants. Finally, we present
applications of these results to sharp constants in Bernstein-V. A. Markov type inequalities of
different metrics for univariate and multivariate trigonometric and algebraic polynomials and
entire functions of exponential type.

תאריך עדכון אחרון : 13/03/2017