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New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus
Fuzzy Sets and Systems ( IF 3.9 ) Pub Date : 2021-02-01 , DOI: 10.1016/j.fss.2020.06.016
Y. Chalco-Cano , T.M. Costa , H. Román-Flores , A. Rufián-Lizana

Abstract This article provides a new characterization of the switching points for generalized Hukuhara differentiability and shows that the set of all switching points is at most countable. Using these results, new properties in differential calculus, which generalize previous results, are presented. Then, generalizations of Ostrowski type inequalities for interval-valued functions using weaker assumption than previous results are obtained, and new numerical integration methods for interval-valued functions are established.

中文翻译:

广义 Hukuhara 可微性转换点的新性质和微积分的一些结果

摘要 本文提供了广义 Hukuhara 可微性的切换点的新表征,并表明所有切换点的集合至多是可数的。使用这些结果,介绍了微分学中的新属性,这些属性概括了以前的结果。然后,使用比以前的结果更弱的假设获得了区间值函数的 Ostrowski 型不等式的推广,并建立了区间值函数的新数值积分方法。
更新日期:2021-02-01
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