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

• Autorzy: Michal Johanis
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46T20: Continuous and differentiable maps
• 46G05: Derivatives

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 136
• Numer: 1
• Strony: 57-64

Daty

wydano

2014

Twórcy

autor

Michal Johanis

• Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic

Identyfikatory

DOI

10.4064/cm136-1-6