A generalization of Ostrowski inequality on time scales for k points

In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special cases.

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Bibliographic Details
Published in:Applied mathematics and computation 2008-09, Vol.203 (2), p.754-760
Main Authors: Liu, Wenjun, Ngô, Quõc-Anh
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Mid-point inequality
Numerical analysis
Numerical analysis. Scientific computation
Ostrowski inequality
Sciences and techniques of general use
Simpson inequality
Time scales
Trapezoid inequality
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Description
Summary:In this paper we first generalize the Ostrowski inequality on time scales for k points and then unify corresponding continuous and discrete versions. We also point out some particular Ostrowski type inequalities on time scales as special cases.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2008.05.124