Results 11 to 20 of about 4,676,398 (193)

ON \(\Lambda\)-CONVERGENCE ALMOST EVERYWHERE OF MULTIPLE TRIGONOMETRIC FOURIER SERIES [PDF]

open access: yesUral Mathematical Journal, 2017
We consider one type of convergence of multiple trigonometric Fourier series intermediate between the convergence over cubes and the \(\lambda \)-convergence for \(\lambda >1\).
Nikolai Yu. Antonov
doaj   +11 more sources

On the restriction of the Fourier transform to polynomial curves [PDF]

open access: yes, 2007
We prove a Fourier restriction theorem on curves parametrised by the mapping P(t) = (P1(t),..., Pn(t)), where each of the P1,..., Pn is a real-valued polynomial and t belongs to an interval on which each of the P1,..., Pn "resembles" a ...
Dendrinos, S, Dendrinos, S.
core   +8 more sources

Fourier Series Related to p-Trigonometric Functions [PDF]

open access: yes
In this paper, we introduce the concept of generalized Fourier series, generated by the p-trigonometric functions, namely cosp and sinp, recently introduced related to the generalized complex numbers systems.
AH Alibrahim (21965408), S Das (7803908)
core   +6 more sources

Inequalities of Some Trigonometric Functions [PDF]

open access: yes, 2003
By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
core   +6 more sources

Modified Fourier expansions: theory, construction and applications [PDF]

open access: yes, 2010
Modified Fourier expansions present an alternative to more standard algorithms for the approximation of nonperiodic functions in bounded domains. This thesis addresses the theory of such expansions, their effective construction and computation, and ...

core   +2 more sources

Remarks on the $L^p$ convergence of Bessel–Fourier series on the disc

open access: yesComptes Rendus. Mathématique, 2023
The $L^p$ convergence of eigenfunction expansions for the Laplacian on planar domains is largely unknown for $p\ne 2$. After discussing the classical Fourier series on the 2-torus, we move onto the disc, whose eigenfunctions are explicitly computable as ...
Acosta Babb, Ryan Luis
doaj   +1 more source

A generalization of Fourier trigonometric series

open access: yesComputers & Mathematics with Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Masjed-Jamei   +1 more
openaire   +3 more sources

Fourier Series Nonparametric Regression Modeling in the Case of Rainfall in West Java Province

open access: yesIJID (International Journal on Informatics for Development), 2022
The Fourier series is a trigonometric polynomial that has flexibility, so it adapts effectively to the local nature of the data. This Fourier series estimator is generally used when the data used is investigated for unknown patterns and there is a ...
Anatansyah Ayomi Anandari   +2 more
doaj   +1 more source

Generalized Localization and Summability Almost Everywhere of Multiple Fourier Series and Integrals

open access: yesСовременная математика: Фундаментальные направления, 2021
It is well known that Luzin’s conjecture has a positive solution for one-dimensional trigonometric Fourier series, but in the multidimensional case it has not yet found its confirmation for spherical partial sums of multiple Fourier series. Historically,
R. R. Ashurov
doaj   +1 more source

Comparative Performance of Mechanistic, Statistical, and Hybrid Models of Forecasting Dengue Fever Incidence in Somalia. A Retrospective Time Series Analysis. [PDF]

open access: yesHealth Sci Rep
ABSTRACT Background and Aims Dengue fever is a growing menace in Somalia, a climate change prone region with a weak healthcare system. An imperative of public health is effective forecasting models. This paper will provide a detailed comparative analysis comparing mechanistic, statistical, and hybrid models in order to find the best forecasting model ...
Abdi AM, Nadarajah S, Muse AH.
europepmc   +2 more sources

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