Convexity of the inverse function
The Teaching of Mathematics, XI (2008) no. 1, p. 21
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
This note answers the following question: Having an invertible convex real valued function $f\:A\rightarrow R$, what
can be said about convexity of $f^{-1}$?
Classification :
00A35 I20 I40
Keywords: Convex function, inverse function, continuity, first derivative, second derivative.
Keywords: Convex function, inverse function, continuity, first derivative, second derivative.
@article{TM2_2008_XI_1_a1,
author = {Mila Mr\v{s}evi\'c},
title = {Convexity of the inverse function},
journal = {The Teaching of Mathematics},
pages = {21 },
publisher = {mathdoc},
volume = {XI},
number = {1},
year = {2008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM2_2008_XI_1_a1/}
}
Mila Mršević. Convexity of the inverse function. The Teaching of Mathematics, XI (2008) no. 1, p. 21 . http://geodesic.mathdoc.fr/item/TM2_2008_XI_1_a1/