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• W4225359642 abstract "<abstract> <p>Integral inequalities play a crucial role in both theoretical and applied mathematics. Because of the relevance of these notions, we have discussed a new class of introduced generalized convex function called as coordinated left and right convex interval-valued function (coordinated <italic>LR</italic>-convex IVF) using the pseudo-order relation ($ {le }_{p} $). On interval space, this order relation is defined. First, a pseudo-order relation is used to show Hermite-Hadamard type inequality (HH type inequality) for coordinated <italic>LR</italic>-convex IVF. Second for coordinated <italic>LR</italic>-convex IVF, Some HH type inequalities are also derived for the product of two coordinated <italic>LR</italic>-convex IVFs. Furthermore, we have demonstrated that our conclusions cover a broad range of new and well-known inequalities for coordinated <italic>LR</italic>-convex IVFs and their variant forms as special instances which are defined by Zhao et al. and Budak et al. Finally, we have shown that the inclusion relation $ supseteq $ confidents to the pseudo-order relation $ {le }_{p} $ for coordinated <italic>LR</italic>-convex IVFs. The concepts and methodologies presented in this study might serve as a springboard for additional research in this field, as well as a tool for investigating probability and optimization research, among other things.</p> </abstract>" @default.
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• W4225359642 date "2022-01-01" @default.
• W4225359642 modified "2023-10-18" @default.
• W4225359642 title "Some integral inequalities in interval fractional calculus for left and right coordinated interval-valued functions" @default.
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• W4225359642 doi "https://doi.org/10.3934/math.2022583" @default.
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