On mean convergence of Hermite–Fejér and Hermite interpolation for Erdős weights [PDF]
, 1912 We investigate convergence of Hermite–Fejér and Hermite interpolation polynomials in Lp ...
Damelin, S.B., Jung, H.S., Kwon, K.H.
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A note on optimal Hermite interpolation in Sobolev spaces
Journal of Inequalities and Applications, 2022 This paper investigates the optimal Hermite interpolation of Sobolev spaces W ∞ n [ a , b ] $W_{\infty }^{n}[a,b]$ , n ∈ N $n\in \mathbb{N}$ in space L ∞ [ a , b ] $L_{\infty }[a,b]$ and weighted spaces L p , ω [ a , b ] $L_{p,\omega }[a,b]$ , 1 ≤ p < ∞ $
Guiqiao Xu, Xiaochen Yu
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Hermite Interpolation and data processing errors on Riemannian matrix manifolds [PDF]
SIAM Journal on Scientific Computing, 2019 The main contribution of this paper is twofold: On the one hand, a general framework for performing Hermite interpolation on Riemannian manifolds is presented.
Ralf Zimmermann
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Block method with Hermite interpolation for numerical solution of delay differential equations [PDF]
, 2012 In this paper, we consider a two-point implicit block method for solving delay differential equations. For greater efficiency, the block method is implemented in variable stepsize technique.
Abdul Majid, Zanariah +2 more
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Hermite matrix in Lagrange basis for scaling static output feedback polynomial matrix inequalities [PDF]
, 2010 Using Hermite's formulation of polynomial stability conditions, static output feedback (SOF) controller design can be formulated as a polynomial matrix inequality (PMI), a (generally nonconvex) nonlinear semidefinite programming problem that can be ...
Delibasi, Akin, Henrion, Didier
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Conservative and non-conservative methods based on hermite weighted essentially-non-oscillatory reconstruction for Vlasov equations [PDF]
, 2013 We introduce a WENO reconstruction based on Hermite interpolation both for semi-Lagrangian and finite difference methods. This WENO reconstruction technique allows to control spurious oscillations.
Filbet, Francis, Yang, Chang
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Fast Computation of Minimal Interpolation Bases in Popov Form for Arbitrary Shifts [PDF]
, 2016 We compute minimal bases of solutions for a general interpolation problem, which encompasses Hermite-Pad\'e approximation and constrained multivariate interpolation, and has applications in coding theory and security.
Jeannerod, Claude-Pierre +3 more
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The EH Interpolation Spline and Its Approximation
Abstract and Applied Analysis, 2014 A new interpolation spline with two parameters, called EH interpolation spline, is presented in this paper, which is the extension of the standard cubic Hermite interpolation spline, and inherits the same properties of the standard cubic Hermite ...
Jin Xie, Xiaoyan Liu
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Mathematics, 2020 Using the wavelet transform defined in the infinite domain to process the signal defined in finite interval, the wavelet transform coefficients at the boundary are usually very large.
Aiping Wang +3 more
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Piecewise Bivariate Hermite Interpolations for Large Sets of Scattered Data
Journal of Applied Mathematics, 2013 The requirements for interpolation of scattered data are high accuracy and high efficiency. In this paper, a piecewise bivariate Hermite interpolant satisfying these requirements is proposed.
Renzhong Feng, Yanan Zhang
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