Abstract
LetXbe a topological vector space,Y=Rn,n∈N,Abe a continuous linear map fromXtoY,C⊂X,Bbe a convex set dense inC, andd∈Ybe a data point. We derive conditions which guarantee that the setB∩A−1(d) is nonempty and dense inC∩A−1(d). Some applications to shape preserving interpolation and approximation are described.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
