Results 1 to 10 of about 4,708,954 (364)
Fourier series of higher-order Bernoulli functions and their applications. [PDF]
J Inequal Appl, 2017 In this paper, we study the Fourier series related to higher-order Bernoulli functions and give new identities for higher-order Bernoulli functions which are derived from the Fourier series of them.
Kim T, Kim DS, Rim SH, Dolgy DV.
europepmc +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
Fourier Series for Singular Measures [PDF]
Axioms, 2017 Using the Kaczmarz algorithm, we prove that for any singular Borel probability measure $\mu$ on $[0,1)$, every $f\in L^2(\mu)$ possesses a Fourier series of the form $f(x)=\sum_{n=0}^{\infty}c_ne^{2\pi inx}$.
John E. Herr, Eric Weber
openalex +3 more sources
Multidimensional Fourier series with quantum circuits [PDF]
Physical Review A, 2023 Quantum machine learning is the field that aims to integrate machine learning with quantum computation. In recent years, the field has emerged as an active research area with the potential to bring new insights to classical machine learning problems. One
Berta Casas, Alba Cervera-Lierta
semanticscholar +1 more source
Seeing Implicit Neural Representations as Fourier Series [PDF]
IEEE Workshop/Winter Conference on Applications of Computer Vision, 2021 Implicit Neural Representations (INR) use multilayer perceptrons to represent high-frequency functions in low-dimensional problem domains. Recently these representations achieved state-of-the-art results on tasks related to complex 3D objects and scenes.
Nuri Benbarka +3 more
semanticscholar +1 more source
Fourier Plane-Wave Series Expansion for Holographic MIMO Communications [PDF]
IEEE Transactions on Wireless Communications, 2021 Imagine a MIMO communication system that fully exploits the propagation characteristics offered by an electromagnetic channel and ultimately approaches the limits imposed by wireless communications. This is the concept of Holographic MIMO communications.
Andrea Pizzo +2 more
semanticscholar +1 more source
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
doaj +2 more sources
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
doaj +1 more source