
Journal of Convex Analysis 25 (2018), No. 3, 767780 Copyright Heldermann Verlag 2018 SchurConvexity of a General Closed FourPoint Quadrature Formula Iva Franjic Faculty of Food and BioTechnology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia ifranjic@pbf.hr The Schurconvexity property of a general closed fourpoint quadrature formula is studied and necessary and sufficient conditions for this type of quadrature formula to have this property are given. If a quadrature formula is Schurconvex, this implies the following: if one considers two intervals which share the same midpoint, the error of a Schurconvex quadrature formula is always smaller on a smaller interval. Keywords: General closed fourpoint quadrature formula, error, 4convex functions, Schurconvexity. MSC: 65D30, 65D32; 26B25 [ Fulltextpdf (106 KB)] for subscribers only. 