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The Grüss inequality on time scales. (English) Zbl 1167.26317

Summary: We prove the Grüss inequality on time scales and thus unify corresponding continuous and discrete versions from the literature. We also apply our results to the quantum calculus case.

MSC:

26D15 Inequalities for sums, series and integrals
39A10 Additive difference equations
39A12 Discrete version of topics in analysis
39A13 Difference equations, scaling (\(q\)-differences)
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