Statistical inference on nonparametric regression model with approximation of Fourier series function: Estimation and hypothesis testing [PDF]
MethodsXNonparametric regression is an approximation method in regression analysis that is not constrained by the assumption of knowing the regression curve. One of the functions to approximate the curve is a Fourier series function. The nonparametric regression
Mustain Ramli +2 more
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The minimality of mean square error in chirp approximation using fractional fourier series and fractional fourier transform [PDF]
Scientific Reports, 2022 Chirps are familiar in nature, have a built-in resistance to noise and interference, and are connected to a wide range of highly oscillatory processes.
Omar T. Bafakeeh +9 more
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On Fourier Series of Fuzzy-Valued Functions [PDF]
The Scientific World Journal, 2014 Fourier analysis is a powerful tool for many problems, and especially for solving various differential equations of interest in science and engineering.
Uğur Kadak, Feyzi Başar
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Use of Fourier Series in X-ray Diffraction (XRD) Analysis and Fourier-Transform Infrared Spectroscopy (FTIR) for Estimation of Crystallinity in Cellulose from Different Sources [PDF]
Polymers, 2022 Omar Triana +2 more
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Discrete Fourier–Neumann series [PDF]
Journal of Approximation Theory, 2004 Let Jμ denote the Bessel function of order μ. The system A formula is presented. with n = 0, 1,..., α> - 1, and where ps denotes the sth positive zero of Jα (ax), is orthonormal in l2 (ℕ). In this paper, we study the mean convergence of the Fourier series with respect to this system. Also, we describe the space in which the span of the system is dense.
Ciaurri, Óscar [0000-0002-1695-3311] +1 more
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Fourier-series-based virtual fields method for the identification of 2-D stiffness distributions [PDF]
, 2013 The Virtual Fields Method (VFM) is a powerful technique for the calculation of spatial distributions of material properties from experimentally-determined displacement fields.
Ian A. Ashcroft (7125329) +3 more
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CQD Revista Eletrônica Paulista de Matemática, 2016 O objetivo principal deste trabalho é apresentar alguns pontos importantes da teoria da Análise de Fourier. Na primeira seção descrevemos a trajetória de Fourier, um dos matemáticos mais citados do século XX. A seção seguinte introduz a Série de Fourier
Felipe Felix Souto, Marta Cilene Gadotti
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A Didactic and Visual Approach to the Fourier Transform
Revista Brasileira de Ensino de Física, 2023 This work provides a comprehensive derivation of the Fourier transform, with less emphasis on the mathematical rigor associated with the theory. Instead, its primary goal is to serve as a didactic resource that fosters an understanding of various ...
Daniel José Kmita +1 more
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Fourier series of higher-order Bernoulli functions and their applications [PDF]
Journal of Inequalities and Applications, 2017 Taekyun Kim, D S Kim, Dmitry V Dolgy
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Notes regarding classical Fourier series
Journal of Numerical Analysis and Approximation Theory, 2023 A survey of some classical results from the theory of trigonomtrical series is presented, especially the case of Fourier series. Some new proofs are presented, and Riemann's theory of trigonometrical series is is given special attention.
Paul Bracken
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