# On the rate of convergence for semigroups and processes of Feller type

## Abstract

Based on the probabilistic theory, the paper contains local estimates of the rate of convergence for contraction~$$C_{0}$$-semigroup. Simultaneously a class of linear positive operators of Feller-Stancu type is introduced, and the local and global rate of convergence for continuous functions is studied.

## Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

## Keywords

Contraction C₀-semigroup; approximation processes; moduli of smoothness, K-functional.

## Paper coordinates

O. Agratini, On the rate of convergence for semigroups and processes of Feller type, Analele Universitatii Bucuresti, Matematica-Informatica, 51 (2002) no. 1, 3-11.

## PDF

##### Journal

Analele Universității București

2067-9009