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Inspired by a result of Chuprunov and Fazekas, we prove sharp inequalities between centered moments of the same order, but with respect to different probability measures.
A Unified Treatment of Some Sharp Inequalities
Quadrature formula Sharp error bounds Generalization Numerical integration
2008/7/3
A generalization of some recent sharp inequalities by N. Ujević is established. Applications in numerical integration are also considered.