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Interpolation and Approximation by Polynomials
CMS Books in Mathematics, 2003 This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still
George M Phillips
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The embedding theorems for anisotropic Nikol’skii-Besov spaces with generalized mixed smoothness [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The theory of embedding of spaces of differentiable functions studies the important relations of differential (smoothness) properties of functions in various metrics and has a wide application in the theory of boundary value problems of ...
K.A. Bekmaganbetov +2 more
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Approximation by interpolation spectral subspaces of operators with discrete spectrum
Математичні Студії, 2021 The paper describes approximation properties of interpolation spectral subspaces of an unbounded operator $A$ with discrete spectrum $\sigma(A)$ in a Banach space $\mathfrak X$, as well as ones corresponding subspaces ${\mathcal E}_{q,p}^{\nu}(A)$ of ...
M.I. Dmytryshyn
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The theorem about the transformer excitation current waveform mapping into the dynamic hysteresis loop branch for the sinusoidal magnetic flux case [PDF]
Serbian Journal of Electrical Engineering, 2015 This paper analyses aspects of the approximation theory application on the certain subsets of the measured samples of the transformer excitation current and the sinusoidal magnetic flux.
Petrović Nenad +2 more
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Smooth polynomial interpolation to boundary data on triangles [PDF]
, 1973 Boolean sum interpolation theory is used to derive a polynomial interpolant which interpolates a function F ∈ CN(∂T), and its derivatives of order N and less, on the boundary 3T of a triangle T.
Gregory, JA, Barnhill, RE
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Journal of Geodetic Science, 2020 This paper is aimed at introducing the concept of Spherical Interpolating Moving Least Squares to the problems in geodesy and geophysics. Based on two previously known methods, namely Spherical Moving Least Squares and Interpolating Moving Least Squares,
Kiani M.
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Domains via approximation operators [PDF]
Logical Methods in Computer Science, 2018 In this paper, we tailor-make new approximation operators inspired by rough set theory and specially suited for domain theory. Our approximation operators offer a fresh perspective to existing concepts and results in domain theory, but also reveal ways ...
Zhiwei Zou, Qingguo Li, Weng Kin Ho
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Technological and Economic Development of Economy, 2023 Probability weighting function (PWF) is the psychological probability of a decision-maker for objective probability, which reflects and predicts the risk preferences of decision-maker in behavioral decisionmaking.
Sheng Wu +4 more
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Training and assessment the generalization ability of interpolation methods [PDF]
Компьютерные исследования и моделирование, 2015 We investigate machine learning methods with a certain kind of decision rule. In particular, inverse-distance method of interpolation, method of interpolation by radial basis functions, the method of multidimensional interpolation and approximation ...
Yuri Nikolaevich Bakhvalov +1 more
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Error bound for radial basis interpolation in terms of a growth function [PDF]
, 2007 We suggest an improvement of Wu-Schaback local error bound for radial basis interpolation by using a polynomial growth function. The new bound is valid without any assumptions about the density of the interpolation centers.
Davydov, Oleg
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