Work

Lagrange-type operators associated with $U_n^{\varrho}$

Year: 2014

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1402.5040

Authors: Gonska, Heiner, Raşa, Ioan, Stănilă, Elena-Dorina

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1481847285

Cites: 4

Cited by:

Related to: 20