Low order quadrature for convex functions (Q701414)

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scientific article; zbMATH DE number 1820057
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Low order quadrature for convex functions
scientific article; zbMATH DE number 1820057

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    Low order quadrature for convex functions (English)
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    21 June 2003
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    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.
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    Grüss type inequalities
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    Hadamard inequality
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    quadrature formulae
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