Eigenstructure of the genuine Beta operators of Lupas and Muhlbach
Authors
Heiner Gonska
Margareta Heilmann
Ioan Rasa
Abstract
The eigenstructure of genuine Beta operators is described, a limiting case of Beta-Jacobi operators. Its similarity to that of the classical Bernstein operators is emphasized. The significance of the mappings considered here comes, among others, from their role as a building block in genuine Bernstein-Durrmeyer operators.
