On the growth of Lebesgue constants for convex polyhedra

Seminar
Speaker
Dr. Yu. Kolomoitsev, University of Luebeck, Germany
Date
15/05/2017 - 15:40 - 14:00Add to Calendar 2017-05-15 14:00:00 2017-05-15 15:40:00 On the growth of Lebesgue constants for convex polyhedra The talk is devoted to the Lebesgue constants of polyhedral partial sums of the Fourier series.  New upper and lower estimates of the Lebesgue constant in the case of anisotropic dilations of  general convex polyhedra will be presented. The obtained estimates generalize and give sharper  versions of the corresponding results of E.S. Belinsky (1977), A.A.Yudin and V.A. Yudin (1985),  J.M. Ash and L. De Carli (2009), and J.M. Ash (2010). 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

The talk is devoted to the Lebesgue constants of polyhedral partial sums of the Fourier series. 
New upper and lower estimates of the Lebesgue constant in the case of anisotropic dilations of 
general convex polyhedra will be presented. The obtained estimates generalize and give sharper 
versions of the corresponding results of E.S. Belinsky (1977), A.A.Yudin and V.A. Yudin (1985), 
J.M. Ash and L. De Carli (2009), and J.M. Ash (2010).

תאריך עדכון אחרון : 08/05/2017