Abstract
We consider in this paper the convergence of Hermite subdivision schemes related to the irregular grids X . It is reduced to the convergence of a scalar subdivision scheme, so the results concerning perturbation of convergent scalar subdivision schemes are applied. For interpolatory subdivision schemes H X , with the irregular grid X which is equivalent to the regular grid X ∗ in a suitable sense, we proved that the convergence of H X is implied by that of H X ∗ . Our arguments work in the settings of L p -convergence and uniform convergence.
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.
