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Hermite Interpolation of Data Sets by Minimal Spline Spaces
Springer Science and Business Media LLC - Tập 23 - Trang 211-227 - 2005
Manfred Sommer
Hermite interpolation of 2n + k data by spline spaces of order k with n variable knots counting multiplicities is studied. A characterization of the minimal spline spaces which admit a solution of the interpolation problem is obtained. A sufficient condition on uniqueness of interpolating spline functions is given.
The Vector-Valued Big q-Jacobi Transform
Springer Science and Business Media LLC - Tập 29 - Trang 85-127 - 2008
Wolter Groenevelt
Big q-Jacobi functions are eigenfunctions of a second-order q-difference operator L. We study L as an unbounded self-adjoint operator on an L 2-space of functions on ℝ with a discrete measure. We describe explicitly the spectral decomposition of L using an integral transform ℱ with two different big q-Jacobi functions as a kernel, and we construct the inverse of ℱ.
Vector-valued, rational interpolants III
Springer Science and Business Media LLC - Tập 2 - Trang 263-289
C. D. Jenkins, P. R. Graves-Morris
In 1963, Wynn proposed a method for rational interpolation of vector-valued quantities given on a set of distinct interpolation points. He used continued fractions, and generalized inverses for the reciprocals of vector-valued quantities. In this paper, we present an axiomatic approach to vector-valued rational interpolation. Uniquely defined interpolants are constructed for vector-valued data so ...... hiện toàn bộ
#Numerical Analysis #Analysis
Two problems on interpolation
Springer Science and Business Media LLC - Tập 11 - Trang 513-515 - 1995
Eli Levin, Boris Shekhtman
Almost Everywhere Convergence of Orthogonal Expansions of Several Variables
Springer Science and Business Media LLC - Tập 22 - Trang 67-93 - 2004
Yuan Xu
For a weighted L1 space on the unit sphere of Rd+1, in which the weight functions are invariant under finite reflection groups, a maximal function is introduced and used to prove the almost everywhere convergence of orthogonal expansions in h-harmonics. The result applies to various methods of summability, including the de La Vallée Poussin means and the Cesàro means. Similar results are also...... hiện toàn bộ
Asymptotics for Lp-norms of Fourier series density estimators
Springer Science and Business Media LLC - Tập 6 - Trang 375-397 - 1990
Lajos Horváth
LetX 1, X2, ⋯, be a sequence of independent, identically distributed bounded random variables with a smooth density functionf. We prove that $$\int_a^b | f_{m,n} (t) - f(t)|^p w(t)dt(1 \leqslant p< \infty )$$ is asymptotically normal, wheref m, n is the Fourier series density estimator offandw is a nonn...... hiện toàn bộ
Asymptotics for orthogonal polynomials defined by a recurrence relation
Springer Science and Business Media LLC - Tập 1 Số 1 - Trang 231-248 - 1985
Attila Máté, Paul Nevai, Вилмос Тотик
Affine Density, Frame Bounds, and the Admissibility Condition for Wavelet Frames
Springer Science and Business Media LLC - - 2007
Gitta Kutyniok
Preface
Springer Science and Business Media LLC - Tập 9 Số 2-3 - Trang 121-121 - 1993
Ronald A. DeVore, Charles A. Micchelli
Interlacing Properties of Coefficient Polynomials in Differential Operator Representations of Real-Root Preserving Linear Transformations
Springer Science and Business Media LLC - - 2023
David A. Cardon, Evan Sorensen, Jason C. White
Tổng số: 893   
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