## Weighted Ostrowski-Grüss inequalities on time scales.(English)Zbl 1241.26017

Summary: 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.

### MSC:

 26D15 Inequalities for sums, series and integrals 26D10 Inequalities involving derivatives and differential and integral operators
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