Wasowicz, Szymon A new proof of some inequality connected with quadratures. (English) Zbl 1163.26315 JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 7, 3 p. (2008). Summary: Another proof of some inequality from [S. Wasowicz, JIPAM, J. Inequal. Pure Appl. Math. 8, No. 2, Paper No. 42, 8 p., electronic only (2007; Zbl 1136.41010)] is given. It is based on the spline approximation of convex functions of higher order. Cited in 1 Document MSC: 26A51 Convexity of real functions in one variable, generalizations 26D15 Inequalities for sums, series and integrals 41A55 Approximate quadratures 65D07 Numerical computation using splines 65D32 Numerical quadrature and cubature formulas Keywords:convex functions of higher order; inequalities; quadrature rules; splines; spline approximation Citations:Zbl 1136.41010 PDFBibTeX XMLCite \textit{S. Wasowicz}, JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 7, 3 p. (2008; Zbl 1163.26315) Full Text: arXiv EuDML EMIS