Results 1 to 10 of about 44,437 (210)
Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data
EPJ Web of Conferences, 2018 Our original Orthonormal Polynomial Expansion Method (OPEM) in one-dimensional version is applied for first time to describe the silver nanoparticles (NPs) spectroscopic data. The weights for approximation include experimental errors in variables.
Bogdanova Nina, Koleva Mihaela
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On Weyl multipliers of non-overlapping Franklin polynomial systems
, 2020 We prove that $\log n$ is an almost everywhere convergence Weyl multiplier for any orthonormal system of non-overlapping Franklin polynomials.
Karagulyan, Grigori A.
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Asymptotic Frame Fields of Rational Bézier Curves
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021 Bézier curves are a type of curves used in computer aided design and related fields. The curves can be defined with the help of De Casteljau algorithm, which is one of the most basic elements of curve and surface design, and Bernstein polynomials, which ...
Tunahan Turhan +2 more
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A maple program to generate orthonormal polynomials
Computers & Mathematics with Applications, 1991 A Maple program for generating orthonormal polynomials with weight function \(w(x,k)=x^ k\) for even \(k\) is given. Numerical results are also presented.
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Inequalities for orthonormal Laguerre polynomials
Journal of Approximation Theory, 2007 The following inequality is established: \[ 10^{-8}
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A Cohen-Type Inequality for Jacobi-Sobolev Expansions
Journal of Inequalities and Applications, 2008 Let μ be the Jacobi measure supported on the interval [-1, 1]. Let us introduce the Sobolev-type inner product 〈f,g〉=∫−11f(x)g(x)dμ(x)+Mf(1)g(1)+Nf'(1)g'(1), where M,N≥0.
Bujar Xh. Fejzullahu
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Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)
Open Mathematics, 2020 Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > –12$\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1.
Liu Rong
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Small eigenvalues of large Hankel matrices:The indeterminate case
, 1999 In this paper we characterise the indeterminate case by the eigenvalues of the Hankel matrices being bounded below by a strictly positive constant. An explicit lower bound is given in terms of the orthonormal polynomials and we find expresions for this ...
Berg, Christian +2 more
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Spectral Representation and Simulation of Fractional Brownian Motion
ComputationThis paper gives a new representation for the fractional Brownian motion that can be applied to simulate this self-similar random process in continuous time. Such a representation is based on the spectral form of mathematical description and the spectral
Konstantin Rybakov
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Shock and Vibration, 2012 Two dimensional boundary characteristic orthonormal polynomials are used in the Ritz method for the vibration analysis of clamped and simply-supported circular plates of varying thickness. The thickness variation in the radial direction is linear whereas
N. Bhardwaj +4 more
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