A quantitative version of the converse Taylor theorem: $C^{k,\omega }$-smoothness

Michal Johanis. "A quantitative version of the converse Taylor theorem: $C^{k,ω}$-smoothness." Colloquium Mathematicae 136.1 (2014): 57-64. <http://eudml.org/doc/284127>.

@article{MichalJohanis2014,
abstract = {We prove a uniform version of the converse Taylor theorem in infinite-dimensional spaces with an explicit relation between the moduli of continuity for mappings on a general open domain. We show that if the domain is convex and bounded, then we can extend the estimate up to the boundary.},
author = {Michal Johanis},
journal = {Colloquium Mathematicae},
keywords = {smoothness; Taylor's theorem},
language = {eng},
number = {1},
pages = {57-64},
title = {A quantitative version of the converse Taylor theorem: $C^\{k,ω\}$-smoothness},
url = {http://eudml.org/doc/284127},
volume = {136},
year = {2014},
}

TY - JOUR
AU - Michal Johanis
TI - A quantitative version of the converse Taylor theorem: $C^{k,ω}$-smoothness
JO - Colloquium Mathematicae
PY - 2014
VL - 136
IS - 1
SP - 57
EP - 64
AB - We prove a uniform version of the converse Taylor theorem in infinite-dimensional spaces with an explicit relation between the moduli of continuity for mappings on a general open domain. We show that if the domain is convex and bounded, then we can extend the estimate up to the boundary.
LA - eng
KW - smoothness; Taylor's theorem
UR - http://eudml.org/doc/284127
ER -