On the Eigenstructure of the Modified Bernstein Operators

DOI10.1080/01630563.2022.2136695OpenAlexW4307721738MaRDI QIDQ5047176

Sofiya Ostrovska, Övgü Gürel Yilmaz, Mehmet Turan

Publication date: 16 November 2022

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2022.2136695

zbMATH Keywords

eigenvalueseigenvectorsStirling numbersBernstein operatorsmodified Bernstein operators

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Linear operators on function spaces (general) (47B38)

Cites Work

• The eigenstructure of the Bernstein operator
• Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators
• The eigenstructure of operators linking the Bernstein and the genuine Bernstein-Durrmeyer operators
• Higher order limit q-Bernstein operators
• Eigenstructure for binomial operators
• On the eigenvectors of the q -Bernstein operators
• On the eigenstructure of the $(\alpha,q)$-Bernstein operator
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