A sharp estimate for the Peano error representation

Ioan Gavrea and Mircea Ivan

Applied Mathematics and Computation, 2015, vol. 252, issue C, 14-19

Abstract: We provide a sharp estimate of the Peano error representation formula for linear functionals. As applications, we obtain sharp estimates for the remainder term in general quadrature formulae and expand some Ostrowski-like type inequalities to linear functionals. The new approach extends and unifies many earlier results on the subject (Dragomir and Wang, 1997; Cheng, 2001; Matić, 2003; Vong, 2011; Gonska et al., 2012).

Keywords: Error bounds for quadrature formulas; Numerical integration; Peano error representation; Ostrowski type inequality; Grüss type inequality; Linear functionals (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:252:y:2015:i:c:p:14-19

DOI: 10.1016/j.amc.2014.12.017

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