caa a22 4500 465821405 CHVBK 20180323112136.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01933220 doi (NATIONALLICENCE)springer-10.1007/BF01933220 On orders of approximation of plane curves by parametric cubic splines [Elektronische Daten] [Manabu Sakai, Riaz Usmani] The aim of the present paper is to show that the convergence rate of the parametric cubic spline approximation of a plane curve is of order four instead of order three. For the first and second derivatives, the rates are of order three and two, respectively. Finally some numerical examples are given to illustrate the predicted error behaviour. BIT Foundations, 1990 Sakai Manabu Department of Mathematics, Faculty of Science, University of Kagoshima, 890, Kagoshima, Japan aut Usmani Riaz Department of Mathematics, Faculty of Science, University of Kagoshima, 890, Kagoshima, Japan aut BIT Numerical Mathematics Kluwer Academic Publishers 30/4(1990-12-01), 735-741 0006-3835 30:4<735 1990 30 10543 https://doi.org/10.1007/BF01933220 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01933220 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sakai Manabu Department of Mathematics, Faculty of Science, University of Kagoshima, 890, Kagoshima, Japan aut NATIONALLICENCE 700 1- Usmani Riaz Department of Mathematics, Faculty of Science, University of Kagoshima, 890, Kagoshima, Japan aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Kluwer Academic Publishers 30/4(1990-12-01), 735-741 0006-3835 30:4<735 1990 30 10543 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer