Bernstein polynomials and dual functionals

Authors

  • A.-M. Acu Lucian Blaga University of Sibiu, Romania
  • G. Motronea Technical University of Cluj-Napoca, Romania
  • I. Rasa Technical University of Cluj-Napoca, Romania

DOI:

https://doi.org/10.31926/but.mif.2023.3.65.2.2

Keywords:

Bernstein polynomials, divided differences, dual functionals

Abstract

The divided differences of Bernstein polynomials were investigated by Alexandru Lupas in 1995. We extend the results of that investigation. Moreover, we establish new relations between them and the theory of dual functionals.

Author Biographies

A.-M. Acu, Lucian Blaga University of Sibiu, Romania

Department of Mathematics and Informatics

G. Motronea, Technical University of Cluj-Napoca, Romania

Faculty of Automation and Computer Science, Department of Mathematics, Str. Memorandumului nr. 28, 400114

I. Rasa, Technical University of Cluj-Napoca, Romania

Faculty of Automation and Computer Science, Department of Mathematics, Str. Memorandumului nr. 28, 400114 

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Published

2023-12-18

Issue

Vol. 3(65) No. 2 (2023)

Section

MATHEMATICS