ON \(\Lambda\)-CONVERGENCE ALMOST EVERYWHERE OF MULTIPLE TRIGONOMETRIC FOURIER SERIES [PDF]
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]
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]
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]
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
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Modified Fourier expansions: theory, construction and applications [PDF]
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
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
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A generalization of Fourier trigonometric series
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
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
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]
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

