On some properties of the Picard operators

Lucyna Rempulska and Karolina Tomczak

Address: Institute of Mathematics, Poznan University of Technology ul. Piotrowo 3a, 60-965 PoznaƄ, Poland

E-mail: lucyna.rempulska@math.put.poznan.pl

Abstract: We consider the Picard operators $\mathcal{P}_n$ and $\mathcal{P}_{n;r}$ in exponential weighted spaces. We give some elementary and approximation properties of these operators.

AMSclassification: primary 41A25.

Keywords: Picard operator, exponential weighted space, degree of approximation, Voronovskaya type theorem.