Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity
Joint Authors
Pecaric, Josip E.
Ribičić Penava, M.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We consider families of general four-point quadrature formulae using a generalization of the Montgomery identity via Taylor’s formula.
The results are applied to obtain some sharp inequalities for functions whose derivatives belong to Lp spaces.
Generalizations of Simpson’s 3/8 formula and the Lobatto four-point formula with related inequalities are considered as special cases.
American Psychological Association (APA)
Pecaric, Josip E.& Ribičić Penava, M.. 2012. Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-464392
Modern Language Association (MLA)
Pecaric, Josip E.& Ribičić Penava, M.. Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-464392
American Medical Association (AMA)
Pecaric, Josip E.& Ribičić Penava, M.. Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-464392
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464392
