Convergence of abstract splines
نویسندگان
چکیده
منابع مشابه
Oblique Projections and Abstract Splines
Given a closed subspace S of a Hilbert space H and a bounded linear operator A ∈ L(H) which is positive, consider the set of all A-selfadjoint projections onto S P(A,S) = {Q ∈ L(H) : Q2 = Q , Q(H) = S , AQ = Q∗A}. In addition, if H1 is another Hilbert space, T : H → H1 is a bounded linear operator such that T ∗T = A and ξ ∈ H, consider the set of (T,S) spline interpolants to ξ: sp (T,S, ξ) = {η...
متن کاملConvergence of a Class of Deficient Discrete Cubic Splines
In the present paper, the existence and uniqueness of deficient discrete cubic spline interpolant by matching the given function and first order difference at the intermediate points between successive mesh points for a uniform mesh has been discussed and also a error estimate concerning this deficient discrete cubic spline interpolant is obtained
متن کاملEpi-Convergence of Minimum Curvature Variation B-splines
We study the curvature variation functional, i.e., the integral over the square of arc-length derivative of curvature, along a planar curve. With no other constraints than prescribed position, slope angle, and curvature at the endpoints of the curve, the minimizer of this functional is known as a cubic spiral. It remains a challenge to effectively compute minimizers or approximations to minimiz...
متن کاملConvergence of discrete and penalized least squares spherical splines
We study the convergence of discrete and penalized least squares spherical splines in spaces with stable local bases. We derive a bound for error in the approximation of a sufficiently smooth function by the discrete and penalized least squares splines. The error bound for the discrete least squares splines is explicitly dependent on the mesh size of the underlying triangulation. The error boun...
متن کاملthe impact of using inspirational quotes on abstract vocabulary recall
the present study is an attempt to investigate the potential impact of inspirational quotes on improving english abstract vocabulary recall. to achieve this goal, a multiple choice language proficiency test of 60 items including vocabulary and grammar component was administered to a sample of 63 second-semester male and female students whose age ranged between 17 to 22 and they were studying en...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1981
ISSN: 0021-9045
DOI: 10.1016/0021-9045(81)90032-0