Low order quadrature for convex functions
type: Item
instance of: scholarly article
title: Low order quadrature for convex functions
zbMATH Open document ID: 1013.26019
DOI: 10.1155/S1025583402000139
author: A. M. Fink
published in: Journal of Inequalities and Applications
publication date: 2003-06-21T00:00:00Z
review text: In [Math. Inequal. Appl. 1, No. 2, 223-230 (1998; Zbl 0907.26009)] the author established generalizations of the classical Hadamard inequality for a large class of (not necessarily positive) measures. This paper contains a careful analysis and presentation of those results; then they (together with some Grüss type inequalities) are used in order to get improved versions of the Hadamard inequality and some new quadrature formulae for the corresponding class of measures.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 1820057
zbMATH Keywords: Grüss type inequalities
zbMATH Keywords: Hadamard inequality
zbMATH Keywords: quadrature formulae
reviewed by: Ioan Raşa
MaRDI profile type: Publication
full work available at URL: s1025583402000139
OpenAlex ID: W2078698195
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description: scientific article; zbMATH DE number 1820057