Atlas home || Conferences | Abstracts | about Atlas

ICDS International Conference on Dynamical Systems 2007
June 26-30, 2007
Abant Izzet Baysal University
Bolu, Turkey

Organizers
Cenap Özel (Bolu, Turkey), Mreza Molaei (Kerman, Iran), Figen Çilingir (Ankara, Turkey)

View Abstracts
Conference Homepage

The main properties of Post-Widder and Stancu operators
by
Mariola Skorupka
Poznan University of Technology, Institute of Mathematics, Piotrowo 3A, 60-965 Poznan, Poland
Coauthors: Lucyna Rempulska (Poznan University of Technology, Institute of Mathematics)

Abstract

In this paper will be considered the Post-Widder Pn and Stancu Ln operators in polynomial weighted spaces:
Pn (f;x) = ó
õ 		∞

0 
 f(t) ( n/x)ntn-1
(n-1)!
 exp æ
è 		- nt
x
 ö
ø 		dt ,

Ln (f;x) = ó
õ 		∞

0 
 f(t) 1
B(nx, n+1)
 tnx-1
(1+t)nx+n+1
 dt ,
for x > 0, n ∈ N, where B is the Euler beta function.

Moreover, will be examined certain modified the Post-Widder and Stancu operators.

We shall give theorems on degree of approximation of functions by these operators and the Vornovskaya-type theorems.

Date received: April 30, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caun-13.