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A new proof of some inequality connected with quadratures. (English) Zbl 1163.26315

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.

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

Citations:

Zbl 1136.41010
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