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Approximation and simulation of signals via harmonic Banach summable factors of Fourier series

Mathematical methods in the applied sciences, 2023
It is well known that the Fourier series is not summable by harmonic means almost everywhere. This paper aimed to introduce the harmonic Banach product summability factors of Fourier series and conjugate Fourier series in order to establish two new ...
S. Sonker   +3 more
semanticscholar   +1 more source

On the factorable spaces of absolutelyp-summable, null, convergent, and bounded sequences

Mathematica Slovaca, 2021
AbstractLetFdenote the factorable matrix andX∈ {ℓp,c0,c,ℓ∞}. In this study, we introduce the domainsX(F) of the factorable matrix in the spacesX. Also, we give the bases and determine the alpha-, beta- and gamma-duals of the spacesX(F). We obtain the necessary and sufficient conditions on an infinite matrix belonging to the classes (ℓp(F),ℓ∞), (ℓp(F),f)
Başar, Feyzi, Roopaei, Hadi
openaire   +1 more source

Borel Summability and Converging Factors for Some Everywhere Divergent Series

SIAM Journal on Mathematical Analysis, 1986
The author studies the formal power series (everywhere divergent) \(F(z)=\sum^{\infty}_{r=1}a_ rz^ r\), where \(a_ r=r^ pw(r)(r!)^ m,\) \(p\geq 0\), \(m\geq 1\) are integers and w(r) is such that for some \(\sigma >0\), \(w(r)\sim \sum^{\infty}_{i=0}w_ ir^{-i- \sigma},\) as \(r\to \infty\).
openaire   +2 more sources

Global band convergence design for high-performance thermoelectric power generation in Zintls

Science
Electronic band convergence can have a beneficial impact on thermoelectric performance, but finding the right band-converged compositions is still time-consuming.
Xin Shi   +3 more
semanticscholar   +1 more source

Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games

arXiv.org
The approximation of mixed Nash equilibria (MNE) for zero-sum games with mean-field interacting players has recently raised much interest in machine learning. In this paper we propose a mean-field gradient descent dynamics for finding the MNE of zero-sum
Yulong Lu, Pierre Monmarch'e
semanticscholar   +1 more source

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