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New time scale generalizations of the Ostrowski-Grüss type inequality for k points
Eze R Nwaeze1, Seth Kermausuor2, Ana M Tameru1
1Department of Mathematics, Tuskegee University, Tuskegee, AL 36088 USA.
Abstract:
Two Ostrowski-Grüss type inequalities for k points with a parameter [Formula: see text] are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points. Many new interesting inequalities can be derived as special cases of our results by considering different values of λ and [Formula: see text]. In addition, we apply our results to the continuous, discrete, and quantum time scales to obtain several novel inequalities in this direction.
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