Lebesgue constant estimation in multidimensional Sobolev space

A. I. Fedotov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University

Abstract: The norm estimation of the Lagrange interpolation operator is obtained. It is shown that the rate of convergence of the interpolative polynomials depends on the choice of the sequence of multiindices and, for some sequences, is equal to the rate of the best approximation of the interpolated function.

Submitted by: F. G. Avkhadiev
Received: 05.12.2003

Language: English

Bibliographic databases:

• 
•