Bounds for the Chebyshev functional and applications to the weighted integral formulae

J. Pečarić, M. Ribičić Penava and A. Vukelić

Applied Mathematics and Computation, 2015, vol. 268, issue C, 957-965

Abstract: The aim of this paper is to provide some error estimates for the general weighted n-point quadrature formulae by using some inequalities for the Chebyshev functional. The above results are applied to obtain some new bounds for the Gauss–Chebyshev formulae of the first and the second kind.

Keywords: Chebyshev functional; Grüss inequality; Weighted quadrature formulae; Gauss–Chebyshev formulae (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:957-965

DOI: 10.1016/j.amc.2015.07.004

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