IJPAM: Volume 32, No. 2 (2006)

ASYMPTOTIC ERROR EXPANSIONS FOR
SCHOENBERG TYPE OPERATORS

Marek Beska$^1$, Karol Dziedziul$^2$
$^{1,2}$Faculty of Applied Mathematics
Gdansk University of Technology
ul. Naturowicza 11/12, Gdansk, 80-952, POLAND
$^1$e-mail: beska@mifgate.pg.gda.pl
$^2$e-mail: kdz@mifgate.pg.gda.pl


Abstract.New look at $L_2$-error of scaled Schoenberg operators is presented. For $L^p$-error we derive a new formula of expansions of Schoenberg operators included second term.

Received: September 25, 2006

AMS Subject Classification: 41A05, 41A60

Key Words and Phrases: Schoenberg operator, asymptotic expansion

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 32
Issue: 2