Results 111 to 120 of about 3,380 (222)

On approximation in the Lp-norm by Hermit interpolation

International Journal of Mathematics and Mathematical Sciences, 1992
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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Simulation of Nonstationary Fluctuating Wind Fields Using POD Decoupling and Spline Interpolation

Buildings
Improving the simulation efficiency of the spectral representation method (SRM) for nonstationary fluctuating wind fields has attracted considerable attention.
Junfeng Zhang, Yuhang Xia, Ningbo Liu, Zheng Liu, Jie Li   +4 more
doaj   +1 more source

Remarks on Quasi-Hermite-Fejér Interpolation

, 1964
Let1be n+2 distinct points on the real line and let us denote the corresponding real numbers, which are at the moment arbitrary, by2The problem of Hermite-Fejér interpolation is to construct the polynomials which take the values (2) at the abscissas (1 ...
A. Sharma
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Saturation Problem ofLp-Approximation by Hermite–Fejér Interpolation

, 1996
The saturation ofLp-approximation of Hermite–Fejér interpolation based on the zeros of generalized Jacobi polynomials is considered. Although mean convergence may improve the approximation order compared to uniform convergence, surprisingly, their ...
Min, G.
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Multiple Refinable Hermite Interpolants

Journal of Approximation Theory, 2000
We consider solutions of a system of refinement equations written in the form as \(\varphi(x)= \sum_{n\in \mathbb{Z}}a(n) \varphi(2x-n)\), where \(\varphi= (\varphi_1, \dots, \varphi_r)^T\) is a vector of compactly supported functions on \(\mathbb{R}\) and \(a\) is a finitely supported sequence of \(r\times r\) matrices called the refinement mask. If \(
openaire   +1 more source

Matrix expression of hermite interpolation polynomials

, 1997
For distinct points x0, x1, …, xn in R, a function f of Cd[a,b] and nonnegative integers d0, d1, …, dn ≤ d, the Hermite interpolation polynomial of f(x) in Lagrange type determined by the data {f(l)(xi)} (i = 0, 1, …, n, l = 0, 1, …, di) is the ...
Trimandalawati, E., Kida, S., Ogawa, S.
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On Normal Pointsystems of Hermite–Fejér Interpolation of Arbitrary Order

, 2001
Necessary conditions of normal pointsystems for Hermite–Fejér interpolation of arbitrary (even) order are given. In particular, one of the main results in this paper is: If a pointsystem consists of the zeros of orthogonal polynomials with respect to a ...
Ying Guang Shi, Shi, Ying Guang
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Piecewise Cubic Hermite Interpolation Package. Final specifications

, 1982
This document contains the specifications for PCHIP, a new Fortran package for piecewise cubic Hermite interpolation of data. It features software to produce a monotone and visually pleasing interpolant to monotone data.
Fritsch, F N
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Constrained Interpolation via Cubic Hermite Splines

پژوهش‌های ریاضی, 2018
Introduction In industrial designing and manufacturing, it is often required to generate a smooth function approximating a given set of data which preserves certain shape properties of the data such as positivity, monotonicity, or convexity, that is, a ...
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doaj  

Hermite mean value interpolation on polygons

, 2018
Hermite mean value interpolation is a method for interpolating function values and derivatives on the boundary of a domain, using boundary integrals. In this paper we specialize the interpolation to polygonal domains and show that if the boundary data is
Beatson, Rick, Floater, Michael S., Kåshagen, Carl Emil   +2 more
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