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• W4382360116 abstract "Abstract In this paper, we introduce notable Jensen–Mercer inequality for a general class of convex functions, namely uniformly convex functions. We explore some interesting properties of such a class of functions along with some examples. As a result, we establish Hermite–Jensen–Mercer inequalities pertaining uniformly convex functions by considering the class of fractional integral operators. Moreover, we establish Mercer–Ostrowski inequalities for conformable integral operator via differentiable uniformly convex functions. Finally, we apply our inequalities to get estimations for normal probability distributions (Gaussian distributions)." @default.
• W4382360116 created "2023-06-29" @default.
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• W4382360116 date "2023-06-28" @default.
• W4382360116 modified "2023-10-12" @default.
• W4382360116 title "On some inequalities for uniformly convex mapping with estimations to normal distributions" @default.
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• W4382360116 doi "https://doi.org/10.1186/s13660-023-02997-z" @default.
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