Weighted Three Point Identities and their Bounds

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Cerone, Pietro (2001) Weighted Three Point Identities and their Bounds. RGMIA research report collection, 4 (4).


The weighted three point rule is investigated in the current article. The rule consists of evaluations at the ends of the interval and at an interior point x. Weighted Ostrowski and Trapezoidal rules and their related bounds are recaptured as particular instances of the current development. The unweighted results of Ostrowski, Trapezoidal and three point rules are also procured if we take the weight to be unity.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17664
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords three point weighted rules, weighted rules, trapezoid, Ostrowski, explicit bounds
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