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

1
Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA
2
Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USA
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Author to whom correspondence should be addressed.
Mathematics 2018, 6(12), 326; https://doi.org/10.3390/math6120326
Received: 5 November 2018 / Revised: 6 December 2018 / Accepted: 11 December 2018 / Published: 14 December 2018
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. View Full-Text
Keywords: Ostrowski–Grüss-type inequality; Montgomery identity; time scales; parameter Ostrowski–Grüss-type inequality; Montgomery identity; time scales; parameter
MDPI and ACS Style

Kermausuor, S.; Nwaeze, E.R. A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales. Mathematics 2018, 6, 326. https://doi.org/10.3390/math6120326

AMA Style

Kermausuor S, Nwaeze ER. A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales. Mathematics. 2018; 6(12):326. https://doi.org/10.3390/math6120326

Chicago/Turabian Style

Kermausuor, Seth; Nwaeze, Eze R. 2018. "A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales" Mathematics 6, no. 12: 326. https://doi.org/10.3390/math6120326

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