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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
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
Two problems on interpolation
Springer Science and Business Media LLC - Tập 11 - Trang 513-515 - 1995
Eli Levin, Boris Shekhtman
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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