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Weighted Ostrowski-Grüss Inequalities on Time Scales

Volume 12, Number 1 (2011), 89 - 99

Weighted Ostrowski-Grüss Inequalities on Time Scales

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Abstract

In this paper, we study Ostrowski--Grüss and Ostrowski-like inequalities on time scales and thus unify and extend corresponding continuous and discrete versions from the literature. We present corresponding inequalities by using the time scales $L^\infty$-norm and also by using the time scales $L^p$-norm. Several interesting inequalities representing special cases of our general results are supplied.