English

Beta operators with Jacobi weights

Classical Analysis and ODEs 2014-02-17 v1

Abstract

We discuss Beta operators with Jacobi weights on C[0,1]C[0,1] for α,β1\alpha,\beta\geq-1, thus including the discussion of three limiting cases. Emphasis is on the moments and their asymptotic behavior. Extended Voronovskaya-type results and a discussion concerning the over-iteration of the operators are included.

Keywords

Cite

@article{arxiv.1402.3485,
  title  = {Beta operators with Jacobi weights},
  author = {Heiner Gonska and Ioan Raşa and Elena Dorina Stănilă},
  journal= {arXiv preprint arXiv:1402.3485},
  year   = {2014}
}
R2 v1 2026-06-22T03:08:27.264Z