Abstract
In this paper we establish new asymptotic relations of the formlimm→∞E(f,Sh,m,Lp(R))=E(f,Bπ/h,Lp(R)), where E(f,Sh,m,Lp(R)) and E(f,Bπ/h,Lp(R)) are the errors of best approximation of a function f in Lp(R), 1⩽p⩽∞, by splines of order m with breakpoints {kh}k=−∞∞,h>0, and by entire functions of exponential type π/h, respectively. Approximation and interpolation of entire functions of exponential type by splines of high order is discussed as well.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.