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.


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