Grüss type inequalities for double integrals on time scales

We prove some Grüss type inequalities for double integrals on time scales and unify the corresponding continuous and discrete versions from the literature. We also apply our results to the quantum calculus case.

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2009-02, Vol.57 (3), p.436-444
Main Authors: Özkan, Umut Mutlu, Yildirim, Hüseyin
Format: Article
Language:English
Subjects:
Calculus
Double integral
Grüss type inequality
Inequalities
Integrals
Mathematical analysis
Mathematical models
Partial derivative
Time scale
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Description
Summary:We prove some Grüss type inequalities for double integrals on time scales and unify the corresponding continuous and discrete versions from the literature. We also apply our results to the quantum calculus case.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2008.11.006