The Exact Form of the Second Moment of Third Degree Schoenberg Spline Operators. (17th August 2020)

• Record Type: Journal Article
• Authors: Moldovan, Camelia Liliana; Păltănea, Radu
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 11(2020)
• Page Start: 1308
• Page End: 1325
• Publication Date: 2020-08-17
• Subjects: Degree of approximation -- Schoenberg operators -- second moment -- splines -- Voronovskaja theorem -- invariant subspaces -- King-type operators; 41A15 -- 41A36 -- 41A25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1764031
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The article presents an explicit form for the second moment of cubic Schoenberg operators with arbitrary knots and in the particular case of equidistant knots. Applications are given for quantitative direct results in approximation and in construction of special classes of Schoenberg operators.