ISSN:
1432-0940
Keywords:
Key words. Free knot splines, Degree of three-convex approximation in the uniform norm. AMS Classification. 41A15, 41A25, 41A29. 〈lsiheader〉 〈onlinepub〉8 May, 1998 〈editor〉Editors-in-Chief: &lsilt;a href=../edboard.html#chiefs&lsigt;R.A. DeVore, E.B. Saff&lsilt;/a&lsigt; 〈pdfname〉14n2p247.pdf 〈pdfexist〉yes 〈htmlexist〉no 〈htmlfexist〉no 〈texexist〉yes 〈sectionname〉 〈/lsiheader〉
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. A Jackson-type estimate is obtained for the approximation of 3 -convex functions by 3 -convex splines with free knots. The order of approximation is the same as for the Jackson-type estimate for unconstrained approximation by splines with free knots. Shape-preserving free knot spline approximation of k -convex functions, k 〉 3 , is also considered.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s003659900073
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