Konferenzpaper

Jahr der Veröffentlichung: 2019

Seiten: 251-264

Zeitschrift: Journal of Computational and Applied Mathematics

Bandnummer: 349

ISSN: 0377-0427

eISSN: 1879-1778

Open Access Status: Bronze

DOI Link: https://doi.org/10.1016/j.cam.2018.09.039

Konferenz: 2nd Conference on Subdivision, Geometric and Algebraic Methods, Isogeometric Analysis and Refinability in Italy (SMART)

Verlag: Elsevier

Abstract: 
In this paper we approximate univariate set-valued functions (SVFs) of bounded variation with range consisting of general (not necessarily convex) compact sets. The approximation operators adapted to SVFs are local operators such as the symmetric Schoenberg spline operator, the Bernstein polynomial operator and the Steklov function. All operators are adapted by using metric linear combinations. Error bounds, obtained in the averaged Hausdorff metric, provide rates of approximation similar to those for real-valued functions of bounded variation. (C) 2018 Elsevier B.V. All rights reserved.

Harvard-Zitierstil: Berdysheva, E., Dyn, N., Farkhi, E. and Mokhov, A. (2019) Metric approximation of set-valued functions of bounded variation, Journal of Computational and Applied Mathematics, 349, pp. 251-264. https://doi.org/10.1016/j.cam.2018.09.039

APA-Zitierstil: Berdysheva, E., Dyn, N., Farkhi, E., & Mokhov, A. (2019). Metric approximation of set-valued functions of bounded variation. Journal of Computational and Applied Mathematics. 349, 251-264. https://doi.org/10.1016/j.cam.2018.09.039