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


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.


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


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

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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.


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Analele Universității București

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