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.

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Published

2016-09-21

Issue

Vol. 61 No. 3 (2016)

Section

Articles

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