Abstract
For 1⩽p⩽∞, sufficient conditions on the generators {φh}h>0are given which ensure that theh-dilates of the shift-invariant space generated byφhprovideLp-approximation of orderk>0. Examples whereφhis an exponential box spline or certain dilates of the Gaussiane−| · |2are considered; it is shown that our sufficient condition then provides an optimal lower bound on their approximation order.
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.
