Abstract
The paper presents a simple procedure for the construction of quasi-interpolation operators in spaces of m -harmonic splines in R d , which reproduce polynomials of high degree. The procedure starts from a generator ϕ 0 , which is easy to derive but with corresponding quasi-interpolation operator reproducing only linear polynomials, and recursively defines generators ϕ 1 , ϕ 2 , … , ϕ m − 1 with corresponding quasi-interpolation operators reproducing polynomials of degree up to 3 , 5 , … , 2 m − 1 respectively. The construction of ϕ j from ϕ j − 1 is explicit, simple and independent of m . The special case d = 1 and the special cases d = 2 , m = 2 , 3 , 4 are discussed in details.
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.
