TY  - JOUR
AU  - Azagra Rueda, Daniel
AU  - Mudarra, C.
PY  - 2017
DO  - 10.1016/j.jmaa.2016.09.015
SN  - 0022-247X
UR  - https://hdl.handle.net/20.500.14352/17649
T2  - Journal of Mathematical Analysis and Applications
AB  - Let H be a Hilbert space, E⊂H be an arbitrary subset and f:E→R, G:E→H be two functions. We give a necessary and sufficient condition on the pair (f,G) for the existence of a convex function F∈C1,1(H) such that F=f and ∇F=G on E. We also show that, if...
LA  - eng
M2  - 1167
PB  - Elsevier
KW  - C1
KW  - 1 function
KW  - Convex function
KW  - Whitney extension theorem
TI  - An Extension Theorem for convex functions of class C1,1 on Hilbert spaces
TY  - journal article
VL  - 446
ER  -