Eigenstructure of the genuine Beta operators of Lupaș and Mühlbach
Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary
Keywords:
Genuine Beta operator, eigenstructure.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.
Mathematics Subject Classification (2010): 65F15, 41A36.
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