Modified positive linear operators, iterates and systems of linear equations

Ioan Cristian Buşcu, Gabriela Motronea, Vlad Paşca · Mathematical Foundations of Computing · 2023

We consider Kantorovich modifications of linking operators and Stancu modifications of the classical Bernstein operators. For the modified operators we determine the limits of iterates and the invariant measures. In order to find the limits we have to solve systems of linear equations and to this end we use a suitable iterative algorithm.

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