Affiliation:
1. Laboratoire des Surfaces et Interfaces des Couches Minces (LECIMS) , Université Badji Mokhtar-Annaba , Annaba , 23000 Algeria
Abstract
Abstract
In this paper, by considering the identity established by Luo et al. in
[C. Luo, T.-S. Du, M. Kunt and Y. Zhang,
Certain new bounds considering the weighted Simpson-like type inequality and applications,
J. Inequal. Appl. 2018 2018, Paper No. 332]
and under the assumption of the quasi-convexity of the first derivative, we establish some new error estimates of the Simpson-like type inequalities. We also discuss the case where the first derivative satisfies
the Hölder condition. At the end, we provide some applications to special means.
The obtained results represent a continuation of the above-mentioned paper.
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics
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