Some Gruess type inequalities and corrected three-point quadrature formulae of Euler type

We obtain some new Gruess type inequalities for the general corrected three-point quadrature formulae of Euler type. As special cases, we derive some new bounds for the corrected Euler Simpson formula, the corrected dual Euler Simpson formula and the corrected Euler Maclaurin formula. Also, applicat...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2015; no. 1; pp. 1 - 14
Main Authors KlariAeic Bakula, Milica, PeAearic, Josip, RibiAeic Penava, Mihaela, Vukelic, Ana
Format Journal Article
LanguageEnglish
Published 01.12.2015
Subjects
Inequalities
Quadratures
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Summary:We obtain some new Gruess type inequalities for the general corrected three-point quadrature formulae of Euler type. As special cases, we derive some new bounds for the corrected Euler Simpson formula, the corrected dual Euler Simpson formula and the corrected Euler Maclaurin formula. Also, applications for the corrected Euler Bullen-Simpson formula are considered.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ObjectType-Feature-2
ISSN:1025-5834
1029-242X
DOI:10.1186/s13660-015-0603-x