TY - JOUR
T1 - New formulas for the Legendre-Fenchel transform
AU - Hiriart-Urruty, J. B.
AU - Martínez-Legaz, J. E.
PY - 2003/12/15
Y1 - 2003/12/15
N2 - We present new formulas for the Legendre-Fenchel transform of functions. They concern the following three operations: inverting a strictly monotone convex function, post-composing an arbitrary function with a strictly monotone concave function, multiplying two positively valued strictly monotone convex functions. © 2003 Elsevier Inc. All rights reserved.
AB - We present new formulas for the Legendre-Fenchel transform of functions. They concern the following three operations: inverting a strictly monotone convex function, post-composing an arbitrary function with a strictly monotone concave function, multiplying two positively valued strictly monotone convex functions. © 2003 Elsevier Inc. All rights reserved.
U2 - 10.1016/j.jmaa.2003.09.012
DO - 10.1016/j.jmaa.2003.09.012
M3 - Article
SN - 0022-247X
VL - 288
SP - 544
EP - 555
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
ER -