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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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Full Text: Euclid