English

On the eigenstructure of the $(\alpha,q)$-Bernstein operator

Classical Analysis and ODEs 2020-07-21 v1 Functional Analysis

Abstract

We obtain eigenvalues and eigenvectors of the (α,q)(\alpha,q)-Bernstein operator Tn,q,αT_{n,q,\alpha}. Moreover, we will give the limit behaviour of these eigenvalues and eigenvectors for all q.q.

Cite

@article{arxiv.2007.10292,
  title  = {On the eigenstructure of the $(\alpha,q)$-Bernstein operator},
  author = {Bülent Köroğlu and Fatma Taşdelen Yeşildal},
  journal= {arXiv preprint arXiv:2007.10292},
  year   = {2020}
}
R2 v1 2026-06-23T17:15:20.449Z