# Seminario Grupo de Teoría de Aproximación y Polinomios Ortogonales

El Grupo de Teoría de Aproximación y Polinomios Ortogonales organiza el Seminario cuyos datos se detallan a continuación:
Fecha: Viernes, 29 de noviembre de 2013
Abstract: For the spectral Galerkin method in numerical solution of partial differential equations, we need to understand the approximation by polynomials in the Sobolev spaces. For this purpose, it is necessary to study orthogonal structure of the Sobolev space $W_2^r$ that consists of functions whose derivatives up to $r$-th order are all in $L^2$. In this talk, we discuss new result on Sobolev orthogonal polynomials in $W_2^r$ for all positive integer $r$ and approximation in the Sobolev space on the unit ball in $\mathbb{R}^d$, and describe sharp estimate for the error of best approximation in the Sobolev space and its application in the spectral Galerkin methods.