Geodesic
Schur-Convexity of a General Closed Four-Point Quadrature Formula
Journal of convex analysis, Tome 25 (2018) no. 3, pp. 767-78
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The Schur-convexity property of a general closed four-point 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 Schur-convex, this implies the following: if one considers two intervals which share the same midpoint, the error of a Schur-convex quadrature formula is always smaller on a smaller interval.
Classification : 65D30, 65D32, 26B25
Mots-clés : General closed four-point quadrature formula, error, 4-convex functions, Schur-convexity 
@article{JCA_2018_25_3_JCA_2018_25_3_a3,
     author = {I. Franjic},
     title = {Schur-Convexity of a {General} {Closed} {Four-Point} {Quadrature} {Formula}},
     journal = {Journal of convex analysis},
     pages = {767--78},
     year = {2018},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a3/}
}
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I. Franjic. Schur-Convexity of a General Closed Four-Point Quadrature Formula. Journal of convex analysis, Tome 25 (2018) no. 3, pp. 767-78. http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a3/