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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 1 / 2007 | |||||||
Article: |
OPTIMAL MULTIVARIATE OSTROWSKI EULER TYPE INEQUALITIES. Authors: GEORGE A. ANASTASSIOU. |
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Abstract:
In [8] we derived general tight multivariate high order Ostrowski type inequalities for the estimate of the error of a multivariate function f evaluated at a point from its average. The estimates involve only the single partial derivatives of f and are with respect to ||.||p, 1 < p < oo. We give here specific applications of these results to the multivariate trapezoid and midpoint rules for functions f differentiable up to order 6. We prove sharpness of these inequalities for differentiation orders m = 1, 2, 4 and with respect to ||.||00. |
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