Periodic even degree spline interpolation on a uniform partition
نویسندگان
چکیده
منابع مشابه
General Degree of Periodic Spline Functions
In this paper we consider spline function of general degree m which has the same area as the function does in each partition of the sub-intervals. The existence and uniqueness in general of spline functions also been studied and obtained the result. : In this paper we consider spline function of general degree, i.e.,of degree m, m=2,3,.... We first give definitions and notations. We take 0 =x 0...
متن کاملOdd-degree spline interpolation at a biinfinite knot sequence
one fundamental spline Li (i.e., Li(tj) = δij , all j), of order 2r whose rth derivative is square integrable. Further, L (r) i (x) is shown to decay exponentially as x moves away from ti, at a rate which can be bounded in terms of r alone. This allows one to bound odd-degree spline interpolation at knots on bounded functions in terms of the global mesh ratio Mt := supi,j ∆ti/∆tj . A very nice ...
متن کاملOn bounding spline interpolation
as a function of s at the k+ 1 points ti, . . . , ti+k. The elements of $k,t are called polynomial splines of order k with knot sequence t. Let τ := (τi) n 1 be a strictly increasing real sequence. As is shown in [12], there exists, for given f , exactly one s ∈ $k,t, such that s(τi) = f(τi), i = 1, . . . , n, if and only if Ni,k(τi) 6= 0, i = 1, . . . , n, i.e., if and only if ti < τi < ti+k, ...
متن کاملNon-uniform spline recovery from small degree polynomial approximation
We investigate the sparse spikes deconvolution problem onto spaces of algebraic polynomials. Our framework encompasses the measure reconstruction problem from a combination of noiseless and noisy moment measurements. We study a TV-norm regularization procedure to localize the support and estimate the weights of a target discrete measure in this frame. Furthermore, we derive quantitative bounds ...
متن کاملB-Spline Interpolation on Lattices
4 Generalized and Optimized Spline Calculation 8 4.1 Multidimensional Array Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.2 Condensing Matrix Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.3 Eliminating Nested Loops . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 4.4 Reduction of Product Tens...
متن کاملذخیره 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: 1985
ISSN: 0021-9045
DOI: 10.1016/0021-9045(85)90066-8