Results 91 to 100 of about 3,380 (222)
Error estimates for Hermite interpolation on spheres
, 2003 In this paper, we prove convergence rates for spherical spline Hermite interpolation on the sphere Sd−1 via an error estimate given in a technical report by Luo and Levesley.
Levesley, J., Luo, Z.
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Barycentric Hermite Interpolation
Maple TransactionsThe Hermite interpolation problem—defined in the article text—is more complicated than the Lagrange interpolation problem—also defined there—and occurs less frequently in practice. But it does occur, and solving it is occasionally useful. Solutions have been reinvented many times since the problem was first posed and solved in 1878 by Charles Hermite ...
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Trigonometric wavelets for Hermite interpolation [PDF]
Mathematics of Computation, 1996 The aim of this paper is to investigate a multiresolution analysis of nested subspaces of trigonometric polynomials. The pair of scaling functions which span the sample spaces are fundamental functions for Hermite interpolation on a dyadic partition of nodes on the interval
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On Hermite-Fejér interpolation at Jacobi zeros
, 1985 For the Hermite-Fejér interpolation at the zeros of the Jacobi polynomials Pm(α,β) it is shown, with the aid of the Bohman-Korovkin theorem, that the sequence of interpolation polynomials converges for every continuous f, pointwise, for ¦x¦ < 1 and α, β >
Locher, F
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, 2020 The interpolation of functions plays a fundamental role in numerical analysis. The highly accurate approximation of non-smooth functions is a challenge in science and engineering as traditional polynomial interpolation cannot characterize the singular ...
Wang, Tongke +2 more
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Modeling and Parameterization of Fuel Economy in Heavy Duty Vehicles (HDVs)
Energies, 2014 The present paper suggests fuel consumption modeling for HDVs based on the code from the Japanese Ministry of the Environment. Two interpolation models (inversed distance weighted (IDW) and Hermite) and three types of fuel efficiency maps (coarse, medium,
Yunjung Oh, Sungwook Park
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ON THE MODIFIED HERMITE INTERPOLATION POLYNOMIALS
Demonstratio Mathematica, 1982 The author defines \(Q_ n(f,x)\) to be the polynomial of degree \(\leq 2n- 1\) associated with the function \(f(x)\in C^ 1[-1,1]\) satisfying the following interpolatory conditions: (i) \(Q_ n(x_{\nu n},f)=f_{\nu n}\), (ii) \(Q'\!_ n(x_{\nu n},f)=(f_{\nu n}-f_{\nu +1,n})/(x_{\nu n}-x_{\nu +1,n})=\chi_{\nu n}=f'(\xi_{\nu n}) x_{\nu n}
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Algorithm for Geometric Hermite Interpolation
, 1995 . We show that the geometric Hermite interpolant can be easily calculated without solving a system of nonlinear equations. In addition we give geometric conditions for the existence and uniqueness of a solution to the interpolation problem.
Jürgen Koch
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Jixie chuandong, 2018 In view of the multi-component coupling modulation characteristics of complex fault signals and the envelope error phenomenon of the local average decomposition method,an LMD method based on rational sub-interval Hermite interpolation is proposed ...
Cui Yanping, Lu Zhaojing, Wu Chunyu
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Weighted Lagrange and Hermite–Fejér interpolation on the real line
Journal of Inequalities and Applications, 1997 For a wide class of weights, a systematic investigation of the convergence-divergence behavior of Lagrange interpolation is initiated. A system of nodes with optimal Lebesgue constant is found, and for Hermite weights an exact lower estimate of the norm ...
J. Szabados
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