Abstract
We introduce a family of three-point subdivision schemes related to palindromic pairs of matrices of order 2. We apply the Mosner theorem on palindromic matrices to the C0 convergence of these subdivision schemes. We study the Holder regularity of their limit functions. The Holder exponent which is found in the regular case is sharp for most limit functions. In the singular case, the modulus of continuity of the limit functions is of order δlogδ. These results can be used for studying the C1 convergence of the Merrien family of Hermite subdivision schemes.
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.
