English

Brass-Stancu-Kantorovich Operators on a Hypercube

Classical Analysis and ODEs 2023-01-04 v1

Abstract

We deal with multivariate Brass-Stancu-Kantorovich operators depending on a non-negative integer parameter and defined on the space of all Lebesgue integrable functions on a unit hypercube. We prove LpL^{p}-approximation and provide estimates for the LpL^{p}-norm of the error of approximation in terms of a multivariate averaged modulus of continuity and of the corresponding LpL^{p}-modulus.

Keywords

Cite

@article{arxiv.2301.01039,
  title  = {Brass-Stancu-Kantorovich Operators on a Hypercube},
  author = {Gülen Başcanbaz-Tunca and Heiner Gonska},
  journal= {arXiv preprint arXiv:2301.01039},
  year   = {2023}
}
R2 v1 2026-06-28T08:00:40.512Z