On the smoothness of certain composite functions

Authors: Phùng Văn Mạnh,

https://doi.org/10.1007/s10476-017-0207-4

Publisher, magazine: ,

Publication year: 2017

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Abstract

We give a characterization of the class R d m of all functions f for which the composite function x → f(x−−√m ) is d-times continuously differentiable in [0, 1]. Some properties of R d m are also investigated.

Tags: composite function, smoothness of composite function