On the convergence of Bernstein-Stancu polynomials in the variation seminorm

Öksüzer, ÖzlemKarslı, HarunYeşildal, Fatma Taşdelen2021-06-232021-06-2320160163-05631532-2467https://doi.org/10.1080/01630563.2015.1137938https://hdl.handle.net/20.500.12491/8985This article studies the variation detracting property and rate of approximation of the Bernstein-Stancu polynomials in the space of functions of bounded variation with respect to the variation seminorm. Moreover, we will present Voronovskaya-type theorems for Bernstein-Stancu polynomials B(n,alpha,beta)f and for the first derivative of these polynomials. Finally we include some graphical examples.eninfo:eu-repo/semantics/closedAccessBernstein-Stancu PolynomialsConvergence in Variation SeminormVariation Detracting PropertyVoronovskaya-Type TheoremsOn the convergence of Bernstein-Stancu polynomials in the variation seminormArticle10.1080/01630563.2015.11379383755836022-s2.0-84976589626Q2WOS:000379687400004Q3