RT Journal Article
T1 Asymptotic Smoothness, Convex Envelopes and Polynomial Norms
A1 Gonzalo, R.
A1 Jaramillo Aguado, Jesús Ángel
A1 Yáñez, Javier
AB We introduce a suitable notion of asymptotic smoothness on infinite dimensional Banach spaces, and we prove that, under some structural restrictions on the space, the convex envelope of an asymptotically smooth function is asymptotically smooth. Furthermore, we study convexity and smoothness properties of polynomial norms, and we obtain that a polynomial norm of degree N has modulus of convexity of power type N.
PB Heldermann Verlag
SN 0944-6532
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17909
UL https://hdl.handle.net/20.500.14352/17909
LA eng
NO The following articles are so far only available in electronic form. The printed version will be published in December 2017.
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 9 abr 2025