Results 71 to 80 of about 1,334 (186)

Mean Convergence of Hermite Interpolation

open access: yesJournal of Approximation Theory, 1994
The aim of this paper are weighted mean convergence properties of Hermite interpolation. This interpolation is based on zeros of certain generalized Jacobi polynomials. Necessary and sufficient conditions for such convergence for all continuously differentiable functions are given.
Nevai, P., Yuan, X.
openaire   +1 more source

Modeling and Parameterization of Fuel Economy in Heavy Duty Vehicles (HDVs)

open access: yesEnergies, 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
doaj   +1 more source

Hermite Interpolation on a Simplex

open access: yesIzvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2018
Summary: In the paper, we solve the problem of polynomial interpolation and approximation functions of several variables on an \(n\)-dimensional simplex in the uniform norm using polynomials of the third degree. We choose interpolation conditions in terms of derivatives in the directions of the edges of a simplex.
openaire   +2 more sources

Application of the Rational Hermite Interpolation LMD Method in the Compound Fault Diagnosis Research

open access: yesJixie 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
doaj  

Weighted Lagrange and Hermite–Fejér interpolation on the real line

open access: yesJournal 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
doaj   +1 more source

Independent sets of interpolation nodes or "how to make all sets regular"

open access: yesJournal of Numerical Analysis and Approximation Theory, 2012
Hermite-Birkhoff interpolation and Pál-type interpolation have been receiving much attention over the years. Also during the previous 15 years the subject of interpolation in non-uniformly distributed nodes has been looked into.
Marcel G. de Bruin, Detlef H. Mache
doaj   +2 more sources

Strong Inequalities for Hermite-Fejér Interpolations and Characterization of K-Functionals

open access: yesAbstract and Applied Analysis, 2014
The works of Smale and Zhou (2003, 2007), Cucker and Smale (2002), and Cucker and Zhou (2007) indicate that approximation operators serve as cores of many machine learning algorithms.
Gongqiang You
doaj   +1 more source

Radau Quadrature for an Almost Quasi-Hermite-Fejer-Type Interpolation in Rational Spaces

open access: yesInternational Journal of Analysis and Applications, 2021
In this paper, we have studied an almost quasi Hermite-Fejer-type interpolation in rational spaces. A Radau type quadrature formula has also been obtained for the same.
Shrawan Kumar   +3 more
doaj  

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