A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales

Seth Kermausuor and Eze R. Nwaeze
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Seth Kermausuor: Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA
Eze R. Nwaeze: Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USA

Mathematics, 2018, vol. 6, issue 12, 1-15

Abstract: In this paper, we present some Ostrowski–Grüss-type inequalities on time scales for functions whose derivatives are bounded by functions for k points via a parameter. The 2D versions of these inequalities are also presented. Our results generalize some of the results in the literature. As a by-product, we apply our results to the continuous and discrete calculus to obtain some interesting inequalities in this direction.

Keywords: Ostrowski–Grüss-type inequality; Montgomery identity; time scales; parameter (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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