On the eigenvectors of the <i>q</i>-Bernstein operators
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Abstract
In this article, both the eigenvectors and the eigenvalues of the q-Bernstein operators have been studied. Explicit formulae are presented for the eigenvectors, whose limit behavior is determined both in the case 0<q<1 and in the case q>1. Because the classical case, where q=1, was investigated exhaustively by S. Cooper and S. Waldron back in 2000, the present article also discusses the related similarities and distinctions with the results in the classical case. Copyright (c) 2013 John Wiley & Sons, Ltd.
Description
Turan, Mehmet/0000-0002-1718-3902
Keywords
q-integers, q-binomial coefficients, q-Bernstein operator, eigenvalues, eigenvectors
Turkish CoHE Thesis Center URL
Citation
8
WoS Q
Q1
Scopus Q
Source
Volume
37
Issue
4
Start Page
562
End Page
570