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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Independent sets of interpolation nodes or "how to make all sets regular"
Journal 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
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Strong Inequalities for Hermite-Fejér Interpolations and Characterization of K-Functionals
Abstract 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
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G2∕C1 Hermite interpolation by planar PH B-spline curves with shape parameter
Applied Mathematics Letters, 2021 G. Albrecht, C. Beccari, Lucia Romani
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Radau Quadrature for an Almost Quasi-Hermite-Fejer-Type Interpolation in Rational Spaces
International 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
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Quantitative analysis of the reconstruction performance of interpolants [PDF]
The analysis presented provides a quantitative measure of the reconstruction or interpolation performance of linear, shift-invariant interpolants. The performance criterion is the mean square error of the difference between the sampled and reconstructed ...
Lansing, Donald L., Park, Stephen K.
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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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Optical Dual Laser Based Sensor Denoising for OnlineMetal Sheet Flatness Measurement Using Hermite Interpolation. [PDF]
Sensors (Basel), 2020 Alonso M +3 more
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Simulation of Nonstationary Fluctuating Wind Fields Using POD Decoupling and Spline Interpolation
BuildingsImproving the simulation efficiency of the spectral representation method (SRM) for nonstationary fluctuating wind fields has attracted considerable attention.
Junfeng Zhang +4 more
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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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