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A representation for the integral kernel of the composition of multivariate Bernstein-Durrmeyer operators

Classical Analysis and ODEs 2025-12-22 v1

Abstract

This paper presents a representation for the kernel of the composition of multivariate Bernstein-Durrmeyer operators for functions defined on the standard simplex in Rd\mathbb{R}^d.

Keywords

Cite

@article{arxiv.2512.17297,
  title  = {A representation for the integral kernel of the composition of multivariate Bernstein-Durrmeyer operators},
  author = {Ulrich Abel and Ana Maria Acu and Margareta Heilmann and Ioan Rasa},
  journal= {arXiv preprint arXiv:2512.17297},
  year   = {2025}
}

Comments

6 pages