On some inequalities for uniformly convex mapping with estimations to normal distributions
نویسندگان
چکیده
Abstract In this paper, we introduce notable Jensen–Mercer inequality for a general class of convex functions, namely uniformly functions. We explore some interesting properties such functions along with examples. As result, establish Hermite–Jensen–Mercer inequalities pertaining by considering the fractional integral operators. Moreover, Mercer–Ostrowski conformable operator via differentiable Finally, apply our to get estimations normal probability distributions (Gaussian distributions).
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2023
ISSN: ['1025-5834', '1029-242X']
DOI: https://doi.org/10.1186/s13660-023-02997-z