Results 11 to 20 of about 3,380 (222)
The author gives estimations of bounds for the fundamental functions of Hermite interpolation of higher order on an arbitrary system of nodes. Those estimations are applied for investigations of convergence of Hermite interpolation and Hermite-Fejér-type interpolation of higher order.
Guang Shi, Ying
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A generalization of Hermite interpolation
We introduce a new interpolation at Chebyshev nodes.
Xie-Hua Sun, Tingfan Xie
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On Hermite-Birkhoff interpolation [PDF]
Let k and n be riatural numbers and let $$ E = \left\| {{ \in _{ij}}} \right\|,\quad \left( {i = 1, \ldots k;j = 0,1, \ldots ,n - 1} \right), $$ be a matrix with k rows and n columns having elements $$ { \in _{ij}} = 0\quad or\quad 1, $$ which are such that $$ \sum\limits_{i,j} {{ \in _{ij}}} = n. $$ .
Fiala, Jiří, Schoenberg, I.J
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Fractional Delayer Utilizing Hermite Interpolation with Caratheodory Representation [PDF]
Fractional delay is indispensable for many sorts of circuits and signal processing applications. Fractional delay filter (FDF) utilizing Hermite interpolation with an analog differentiator is a straightforward way to delay discrete signals.
Qiang DU, Yaoliang SONG, Zeeshan AHMAD
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Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials [PDF]
Let and be the ultraspherical polynomials with respect to . Then, we denote the Stieltjes polynomials with respect to satisfying . In this paper, we consider the higher-order Hermite-Fejér interpolation operator based on the zeros of and the higher
Hee Sun Jung, Ryozi Sakai
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\(L^p\)-convergence of Hermite and Hermite-Fejér interpolation [PDF]
The authors generalize convergence results on \(L^p\)-convergence of Lagrange interpolation (cf. [\textit{P. Nevai}, Trans. Am. Math. Soc. 282, 669--698 (1984; Zbl 0577.41001)]) to the case of Hermite and Hermite-Fejér interpolation. Let \(w(x)=v^{\alpha,\beta}(x)=(1-x)^{\alpha}(1+x)^{\beta}\), \(\alpha,\beta>-1\), be the Jacobi weight and denote the \(
Biancamaria Della Vecchia +3 more
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On the General Hermite Cardinal Interpolation [PDF]
A sequence of interpolation series is given which generalizes Whittaker’s cardinal function to the case of Hermite interpolation. By integrating the interpolation series, a sequence of new quadrature formulae for
R. Kreß
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On Convexity Preserving C1 Hermite Spline Interpolation [PDF]
The aim of this paper is to present a general approach to the problem of shape preserving interpolation. The problem of convexity preserving interpolation using C1 Hermite splines with one free generating function is considered.
I. Verlan
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Generalized bivariate hermite fractal interpolation function [PDF]
: Fractal interpolation provides an efficient way to describe a smooth or non-smooth structure associated with nature and scientific data. The aim of this paper is to introduce a bivariate Hermite fractal interpolation formula that generalizes the ...
Navascues M.A., Jha S., Chand A.K.B.
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Means and Hermite interpolation [PDF]
Let $m_{2}
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