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Turkish Journal of Mathematics and Computer Science, vol.13, no.2, pp.318-330, 2021 (Peer-Reviewed Journal)
In this paper, some Hermite-Hadamardtype inequalitesfor $s$-convex functions in the third sense are studied. It is establishedseveral new inequalities for functions whose derivative in absolute value and $p$th power of its derivative in absolute valueare $s$-convex in the third sense. In addition, these inequalities are used to find an upper bound for error in numerical integration for this type offunctions.