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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

An Estimate of the Rate of Convergence for the Absolute Summability of Factors of Infinite Series

Power System Technology, 2023
Here in, we provide evidence of three theorems about a special case of the absolute summing-up-factors of infinite series using much less stringent conditions. Some particular results on various absolute summability approaches also been produced. The papers [7], [21], and [22] serve inspirations for our work.
openaire   +1 more source

A note on approximation in weighted Korobov spaces via multiple rank-1 lattices

Journal of Complexity
This paper studies the multivariate approximation of functions in weighted Korobov spaces using multiple rank-1 lattice rules. It has been shown by K\"{a}mmerer and Volkmer (2019) that algorithms based on multiple rank-1 lattices achieve the optimal ...
Mou Cai, Takashi Goda
semanticscholar   +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 Monmarché
semanticscholar   +1 more source

The Harder Path: Last Iterate Convergence for Uncoupled Learning in Zero-Sum Games with Bandit Feedback

International Conference on Machine Learning
We study the problem of learning in zero-sum matrix games with repeated play and bandit feedback. Specifically, we focus on developing uncoupled algorithms that guarantee, without communication between players, the convergence of the last-iterate to a ...
Côme Fiegel   +4 more
semanticscholar   +1 more source

The association between heavy metals co-exposures and depression: a convergence of network toxicology and epidemiology.

Journal of Affective Disorders
As neurotoxic agents, heavy metals have been implicated in depression pathogenesis, yet epidemiological evidence on metal mixture associations remain limited. This study examined associations between cadmium (Cd), lead (Pb), selenium (Se), manganese (Mn),
Qianqian Li   +13 more
semanticscholar   +1 more source

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