Results 21 to 30 of about 969 (126)

A cardinal spline approach to wavelets [PDF]

Proceedings of the American Mathematical Society, 1991
Summary: While it is well known that the \(m\)-th order \(B\)-spline \(N_ m(x)\) with integer knots generates a multiresolution analysis, \(\cdots\subset V_{- 1}\subset V_ 0\subset\cdots\), with the \(m\)th order of approximation, we prove that \(\psi(x):=L^{(m)}_{2m}(2x-1)\), where \(L_{2m}(x)\) denotes the \((2m)\)th order fundamental cardinal ...
Chui, Charles K., Wang, Jian-Zhong
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Extended Families of Cardinal Spline Wavelets

Applied and Computational Harmonic Analysis, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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CARDINAL APPROXIMATION OF FUNCTIONS BY SPLINES ON AN INTERVAL

Mathematical Modelling and Analysis, 2009
The cardinal interpolant of functions on the real line by splines is determined by certain formula free of solving large or infinite systems. We apply this formula to functions given on the interval [0,1] introducing special extensions of functions from [0,1] into the real line which maintains the optimal error estimates.
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B-splines for cardinal hermite interpolation

Linear Algebra and its Applications, 1975
AbstractWe give a proof of a conjecture of I.J. Schoenberg on B-splines for Cardinal Hermite interpolation without the assumption that the characteristics polynomial IIn,r(λ) is irreducible over the rational field.
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Almost cardinal spline interpolation

Journal of Approximation Theory, 1990
Spline functions are surely interesting objects of intensive investigation. When interpolation points and knots of the relevant splines are characterized by a periodic behaviour, the interpolating problem is termed cardinal interpolation. The present paper deals with a certain generalization of known theoretical results in the subject to the ''almost ...
Arad, Nur, Dyn, Nira
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Error Estimates for the Cardinal Spline Interpolation

Zeitschrift für Analysis und ihre Anwendungen, 2009
For the Sobolev class W_{\textrm{per}}^{m,\infty}(\mathbb{R}) of 1-periodic functions, an unimprovable error estimate for the spline interpolants of order m on the ...
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A class of generalized cardinal splines

Journal of Approximation Theory, 1979
al. 121. iMore recently Tzimbalario [9] and Mohapatra and Sharma [4] have derived analogous results for certain classes of cardinal discrete splines. In this paper we derive results for a broad class of generalized cardinal splines which both unify and generalize the results of all the above papers.
Goodman, T.N, Lee, S.L
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On the Lebesgue constants for cardinal -spline interpolation

Journal of Approximation Theory, 1985
No abstract.
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Fourier Transforms of B-Splines and Fundamental Splines for Cardinal Hermite Interpolations [PDF]

Proceedings of the American Mathematical Society, 1976
Using the exponential Hermite Euler splines we compute the Fourier transforms of the B B -splines and fundamental splines ...
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Cardinal spline interpolation in $L_{2}$

Illinois Journal of Mathematics, 1975
Marsden, M., Mureika, R.
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