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