Rate of Convergence in Sobolev Space

Sevilay Kırcı Serenbay, Hande Tanberkan

Abstract

In this paper, a new theorem on degree of approximation in

 

L2 p() Sobolev space of integrable functions of two variables by Bernstein-Chlodowsky polnomials on an unbounded triangular domain is studied. Also by using the K- functional of Peetre the order of approximation are established.

Keywords

Bernstein -Chlodowsky polynomials, convergence, absolutely continuous, function, L2 Hardy-Littlewood majorante, K - functional of Peetre

Full Text:

PDF