On Genuine Bernstein–Durrmeyer Operators |
| |
Authors: | Heiner Gonska Daniela Kacsó Ioan Raşa |
| |
Affiliation: | 1. Department of Mathematics, University of Duisburg-Essen, Forsthausweg 2, D-47048, Duisburg, Germany 2. Department of Mathematics, University of Bochum, Universit?tsstr. 150, D-44780, Bochum, Germany 3. Department of Mathematics, Technical University, Str. C. Daicoviciu 15, RO-400020, Cluj-Napoca, Romania
|
| |
Abstract: | We continue the studies on the so–called genuine Bernstein–Durrmeyer operators U n by establishing a recurrence formula for the moments and by investigating the semigroup T(t) approximated by U n . Moreover, for sufficiently smooth functions the degree of this convergence is estimated. We also determine the eigenstructure of U n , compute the moments of T(t) and establish asymptotic formulas. Received: January 26, 2007. |
| |
Keywords: | 41A36 41A25 41A17 41A10 20Mxx 47A75 |
本文献已被 SpringerLink 等数据库收录! |
|