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- Title
LAGRANGE-TYPE OPERATORS ASSOCIATED WITH U<sup>ϱ</sup><sub>n</sub>.
- Authors
Gonska, Heiner; Raşa, Ioan; Stănilă, Elena-Dorina
- Abstract
We consider a class of positive linear operators which, among others, constitute a link between the classical Bernstein operators and the genuine Bernstein--Durrmeyer mappings. The focus is on their relation to certain Lagrange-type interpolators associated to them, a well known feature in the theory of Bernstein operators. Considerations concerning iterated Boolean sums and the derivatives of the operator images are included. Our main tool is the eigenstructure of the members of the class.
- Subjects
LAGRANGE (Ga.); OPERATOR theory; BOOLEAN algebra; FUNCTIONAL analysis; DIFFERENTIAL operators
- Publication
Publications de l'Institut Mathématique, 2014, Vol 96, Issue 110, p159
- ISSN
0350-1302
- Publication type
Article
- DOI
10.2298/PIM1410159G