caa a22 4500 465821200 CHVBK 20180323112136.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF01931662 doi (NATIONALLICENCE)springer-10.1007/BF01931662 El Tarazi M. Mathematics Department, Kuwait University, P.O. Box 5969, 13060, Safat, Kuwait aut Quadratic spline interpolation on uniform meshes [Elektronische Daten] [M. El Tarazi] The interpolation problem at uniform mesh points of a quadratic splines(x i)=f i,i=0, 1,...,N ands′(x 0)=f′0 is considered. It is known that ∥s−f∥∞=O(h 3) and ∥s′−f′∥∞=O(h 2), whereh is the step size, and that these orders cannot be improved. Contrary to recently published results we prove that superconvergence cannot occur for any particular point independent off other than mesh points wheres=f by assumption. Best error bounds for some compound formulae approximatingf′ i andf i (3) are also derived. BIT Foundations, 1990 65D05 nationallicence 65D07 nationallicence Interpolation nationallicence Quadratic nationallicence Spline nationallicence BIT Numerical Mathematics Kluwer Academic Publishers 30/3(1990-09-01), 484-489 0006-3835 30:3<484 1990 30 10543 https://doi.org/10.1007/BF01931662 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01931662 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- El Tarazi M. Mathematics Department, Kuwait University, P.O. Box 5969, 13060, Safat, Kuwait aut NATIONALLICENCE 773 0- BIT Numerical Mathematics Kluwer Academic Publishers 30/3(1990-09-01), 484-489 0006-3835 30:3<484 1990 30 10543 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer