Results 11 to 20 of about 19,027 (302)
Lebesgue functions and Lebesgue constants in polynomial interpolation [PDF]
Journal of Inequalities and Applications, 2016 The Lebesgue constant is a valuable numerical instrument for linear interpolation because it provides a measure of how close the interpolant of a function is to the best polynomial approximant of the function.
Bayram Ali Ibrahimoglu
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Analytical formulas for polynomial coefficients in radial basis function interpolation
Mathematical Modelling and AnalysisRadial basis functions (RBF) are used in many areas, including interpolation and approximation, solution of partial differential equations, neural networks, and machine learning. RBFs are based on the sum of weighted kernel functions.
Vaclav Skala
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Geometric Estimates in the Polynomial Interpolation
Моделирование и анализ информационных систем, 2011 We prove some new inequalities for the norms of projections due to the polynomial interpolation of continuous functions of n variables.
M. V. Nevskii
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Journal of Mathematics, 2022 In the paper, we study the upper bound estimation of the Lebesgue constant of the bivariate Lagrange interpolation polynomial based on the common zeros of product Chebyshev polynomials of the second kind on the square −1,12. And, we prove that the growth
Juan Liu, Laiyi Zhu
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Some applications of Sigmoid functions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 In numerical analysis, the process of fitting a function via given data is called interpolation. Interpolation has many applications in engineering and science.
M. A. Jafari, A. Aminataei
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Quantum interpolation of polynomials [PDF]
Quantum Information and Computation, 2011 Can a quantum computer efficiently interpolate polynomials? We consider black-box algorithms that seek to learn information about a polynomial $f$ from input/output pairs $(x_i, f(x_i))$. We define a more general class of \emph{$(d,S)$-independent} function properties, where, outside of a set $S$ of exceptions, knowing $d$ input values does not help ...
Daniel M. Kane, Samuel A. Kutin
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A new interpolation method based on satellite physical character in using IGS precise ephemeris
Geodesy and Geodynamics, 2014 Due to the deficiency of sliding Lagrange polynomial interpolation, the author proposes a new interpolation method, which considers the physical character of satellite movement in coordinate transformation and reasonable selection of interpolation ...
Liu Weiping, Hao Jinming
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Tricubic Polynomial Interpolation [PDF]
Proceedings of the National Academy of Sciences, 1971 A new triangular “finite element“ is described; it involves the 12-parameter family of all quartic polynomial functions that are “tricubic“ in that their variation is cubic along any parallel to any side of the triangle. An interpolation scheme is described that approximates quite accurately any smooth function on any triangulated domain by a ...
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On Polynomial and Polynomial Matrix Interpolation [PDF]
, 2002 The classical algorithms for computations with polynomials and polynomial matrices use elementary operations with their coefficients. The relative accuracy of such algorithms is relatively small and for polynomials of higher order and polynomial matrices of higher dimension the executing time grows very quickly.
Petr Husek, Renata Pytelková
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Interpolation: a Taylor polynomial approach [PDF]
, 2021 Interpolation is a technique that calculates the unknown values from known given values with in the certain range. Whereas the process of calculating unknown values beyond the certain given range is called extrapolation.
Faham, M.A.A.M., Sasni, M.I.S.
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