Results 31 to 40 of about 205 (123)
The Paley‐Wiener‐Levinson theorem revisited
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 2, Page 229-234, 1997., 1995 In this paper a new proof of the Paley‐Wiener‐Levinson theorem is presented. This proof is based upon the isometry between the Paley‐Wiener space and that of the square‐integrable functions in [−π, π], on one hand, and a Titchmarsh′s theorem which allows recovering bandlimited, entire functions from their zeros, on the other hand.
A. G. García
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A generalization of Hermite interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 719-725, 1997., 1996 We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
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On approximation of functions and their derivatives by quasi‐Hermite interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 279-286, 1996., 1994 In this paper, we consider the simultaneous approximation of the derivatives of the functions by the corresponding derivatives of quasi‐Hermite interpolation based on the zeros of (1 − x2)pn(x) (where pn(x)is a Legendre polynomial). The corresponding approximation degrees are given. It is shown that this matrix of nodes is almost optimal.
G. Min
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International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 209-216, 1994., 1993 We continue the investigation initiated by Mastroianni and Szabados on question whether Jackson′s order of approximation can be attained by Lagrange interpolation for a wide class of functions. Improving a recent result of Mastroianni and Szabados, we show that for a subclass of C1 functions the local order of approximation given by Lagrange ...
Xin Li
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A note on multiplicity weight of nodes of two point Taylor expansion
, 2017 Copyright c © 2017 Koichiro Shimada, Shota Taguchi and Kazuaki Kitahara. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work ...
Koichi Shimada, S. Taguchi, K. Kitahara
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On approximation in the Lp‐norm by Hermit interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 35-39, 1992., 1991 Lp‐approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of the first kind is considered. The corresponding result of Varma and Prasad [1] is generalized and perfected.
Min Guohua
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Equiconvergence of some sequences of rational functions
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 221-228, 1992., 1992 The phenomenon of equiconvergence was first observed by Walsh for two sequences of polynomial interpolants to a class of functions. Here we obtain analogues of Yuanren′s results for Walsh equiconvergence using rational functions as in Saff and Sharma. We extend this to Hermite interpolation and an earlier result of [1] is improved and corrected.
M. A. Bokhari, A. Sharma
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Stability results for approximation by positive definite functions on compact groups [PDF]
, 2008 We consider interpolation methods defined by positive definite functions on a compact group. Estimates for the smallest and largest eigenvalue of the interpola- tion matrix in terms of the localization of the positive definite function on G are ...
Filbir, Frank +5 more
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Interpolation of natural cubic spline
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 229-234, 1992., 1990 From the result in [1] it follows that there is a unique quadratic spline which bounds the same area as that of the function. The matching of the area for the cubic spline does not follow from the corresponding result proved in [2]. We obtain cubic splines which preserve the area of the function.
Arun Kumar, L. K. Govil
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International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 343-348, 1990., 1990 In the present paper, we define a new class of discrete splines and study the existence, uniqueness, and convergence properties of discrete quadratic splines satisfying the Mean Averaging Condition.
Surendra Singh Rana
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