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

We obtain some new Grüss 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, applicati...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2015; no. 1; p. 1
Main Authors Klaricic Bakula, Milica, Pecaric, Josip, Ribicic Penava, Mihaela, Vukelic, Ana
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 03.03.2015
Springer Nature B.V
Subjects
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
corrected three-point quadrature formulae
Grüss inequality
26D20
Chebyshev functional
corrected Euler Bullen-Simpson formula
26D99
26D15
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Summary:We obtain some new Grüss 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:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-015-0603-x