@Article{CMR-26-41,
author = {Pan , ShaorongZhang , Hongwei and Zhang , Liwei},
title = {Star-Shaped Differentiable Functions and Star-Shaped Differentials},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {26},
number = {1},
pages = {41--52},
abstract = {<p style="text-align: justify;">Based on the isomorphism between the space of star-shaped sets and the
space of continuous positively homogeneous real-valued functions, the star-shaped differential of a directionally differentiable function is defined. Formulas for star-shaped
differential of a pointwise maximum and a pointwise minimum of a finite number of
directionally differentiable functions, and a composite of two directionally differentiable functions are derived. Furthermore, the mean-value theorem for a directionally
differentiable function is demonstrated.</p>},
issn = {2707-8523},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cmr/19176.html}
}