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Elementarym-harmonic cardinal B-splines
Numerical Algorithms, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Cardinal Spline Interpolation
Computational Methods in Applied Mathematics, 2013Abstract. In the present paper it is shown that the interpolation problem for multiple knot cardinal splines subject to general interpolation conditions has a unique solution with polynomial growth if the data grow correspondingly provided a certain determinantal condition is satisfied.
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Spline Functions on the Circle: Cardinal L-Splines Revisited
Canadian Journal of Mathematics, 1980Although the literature on splines has grown vastly during the last decade [11], the study of polynomial splines on the circle seems to have suffered neglect. The first to study the subject in depth seem to be Ahlberg, Nilson and Walsh [1]. Almost at the same time I. J.
Micchelli, Charles A., Sharma, A.
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Cardinal splines in nonparametric regression
Mathematical Methods of Statistics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cho, J., Levit, B.
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Cardinal Interpolation and Generalized Exponential Euler Splines
Canadian Journal of Mathematics, 1976Let denote the class of cardinal splines S(x) of degree n (n ≧ 1) having their knots at the integer points of the real axis. We assume that the knots are simple so that . Recently Schoenberg [3] has studied cardinal splines such that S(x) interpolates the exponential function tx at the integers ...
Sharma, A., Tzimbalario, J.
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Lebesgue Constants for Cardinal -Spline Interpolation
Canadian Journal of Mathematics, 1977Recently the theory of cardinal polynomial spline interpolation was extended to cardinals -splines [3]. Letbe a polynomial with only real zeros. Denote the set of zeros by . If is the associated differential operator, the null-space
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High levelm-harmonic cardinal B-splines
Numerical Algorithms, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SIAM Journal on Numerical Analysis, 1976
The cardinal L-splines are linear combinations of certain exponential polynomials between successive integers. Here we consider a subset $S_n^r (T)$ of this class which generalizes the concept of perfect splines and determine the element with the least t-norm for some nonzero real t.
Sharma, A., Tzimbalario, J.
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The cardinal L-splines are linear combinations of certain exponential polynomials between successive integers. Here we consider a subset $S_n^r (T)$ of this class which generalizes the concept of perfect splines and determine the element with the least t-norm for some nonzero real t.
Sharma, A., Tzimbalario, J.
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Convergence of interpolating cardinal splines: Power growth
Israel Journal of Mathematics, 1976Letf(x) be the restriction to the real axis of an entire function of exponential ...
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Journal d'Analyse Mathématique, 1974
Let F(x) be a function from ℝ to ℂ and let $$S_m \left( x \right)\, = \,\sum\limits_{ - \infty }^\infty {F\left( \nu \right)L_m \left( {x - \nu } \right)}$$ (1) be the spline function of degree 2m−1, with knots at the integers, that interpolates F(x) at all the integers.
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Let F(x) be a function from ℝ to ℂ and let $$S_m \left( x \right)\, = \,\sum\limits_{ - \infty }^\infty {F\left( \nu \right)L_m \left( {x - \nu } \right)}$$ (1) be the spline function of degree 2m−1, with knots at the integers, that interpolates F(x) at all the integers.
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