On quantitative estimate for the limiting semigroup of positive operators

Authors

  • Mihaela Smuc Transilvania University of Brasov, Romania

Keywords:

positive linear operators, Trotter theorem, limiting semigroup of operators, Durrmeyer operators

Abstract

In this paper, we give a general quantitative estimate of approximation of the iterates of positive linear operators which preserve constants by the limiting semigroup dened by these iterates. Applications are given for Durrmeyer operators.

Author Biography

Mihaela Smuc, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics

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Published

2019-01-08

Issue

Vol. 11(60) No. 2 (2018)

Section

MATHEMATICS