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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 30, 2024 - Issue 1
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Research Article

A novel class of integral inequalities with graphical approach and diverse applications

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Pages 156-178 | Received 11 Jan 2024, Accepted 28 Feb 2024, Published online: 22 Mar 2024
 

ABSTRACT

In this paper, we investigate a novel class of Hermite-Hadamard inequalities applicable to functions with h-convex absolute derivatives. Graphical representations are provided to bolster the validity of our key findings. Some limiting results of our main findings are discussed as corollaries. Furthermore, we establish error estimates in terms of trapezoid formulae for differences between generalized means.

Acknowledgement

The author Thabet Abdeljawad would like to thank Prince Sultan University through the TAS research lab.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Authors’ contributions

The authors contributed equally and significantly in writing this paper. All authors read and approved the final manuscript.

Additional information

Funding

This research did not receive any specific funding.