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Criteria for absolute convergence of Fourier series [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1975
Let f e (T). Define fa by fj(x) = f(x + a). Then the Fourier series of f is absolutely convergent if and only if there exists a Lebesgue point a for f such that both sequences ((Re f(n))~ nEZ ( nm f)))neZ belong to 11. The theorem remains true if the sentence "there exists a Lebesgue point a for f" is replaced by "there is a e R such that f is ...
Nicolas Artémiadis
openalex   +2 more sources

Absolute Boundedness and Absolute Convergence in Sequence Spaces [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1991
Summary: Let \({\mathcal H}\) be the set of all sequences \(h=(h_ k)_{k=1}^ \infty\) of 0s and 1s. A sequence \(x\) in a topological sequence space \(E\) has the property of absolute boundedness \(| AB|\) if \({\mathcal H}\cdot x=\{y\mid y_ k=h_ k x_ k\), \(h\in{\mathcal H}\}\) is a bounded subset of \(E\).
Martin Buntinas, Naza Tanovic-Miller
openalex   +3 more sources

A Bayesian model of distance perception from ocular convergence. [PDF]

open access: yesPLoS Computational Biology
Ocular convergence is one of the critical cues from which to estimate the absolute distance to objects in the world, because unlike most other distance cues a one-to-one mapping exists between absolute distance and ocular convergence.
Peter Scarfe, Paul B Hibbard
doaj   +2 more sources

On the Absolute Convergence of Lacunary Fourier Series [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1981
In 1958, P. B. Kennedy [2] proved a two-part theorem on the order of magnitude of the coefficients and the absolute convergence of lacunary Fourier series, and he conjectured that his conclusions remained valid under weaker conditions. The conjecture on the order of magnitude of the coefficients was established by M. and S. I. Izumi [1].
J. R. Patadia, V. M. Shah
openalex   +4 more sources

ON ABSOLUTE CONVERGENCE OF FOURIER SERIES [PDF]

open access: greenProceedings of the National Academy of Sciences, 1956
Fu Cheng Hsiang
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What Have We Not Learned from the Convergence Debate?

open access: yesMathematics, 2023
We argue that the alternative hypotheses about cross-country convergence dynamics, namely the Conditional Convergence Hypothesis, Absolute Convergence Hypothesis, and Club Convergence hypothesis, build upon different modelling choices and answer ...
Leone Leonida
doaj   +1 more source

Convergence Analysis of Economic Growth in South Kalimantan

open access: yesJDE (Journal of Developing Economies), 2022
The objectives of this research are 1) testing and analyzing the level of sigma convergence in South Kalimantan; 2) testing and analyzing the convergent beta, including the absolute beta convergence and conditional beta convergence.
Yunita Sopiana   +2 more
doaj   +1 more source

Convergence or Divergence in Economic Growth of Commonwealth of Independent States (CIS)

open access: yesStudia Universitatis Vasile Goldis Arad, Seria Stiinte Economice, 2022
In this study, the issue of economic growth and Convergence in the 12 countries of the CIS region has been investigated thoroughly for 27 years, from 1991–2017.
Shah Imtiyaz Ahmad, Haq Imtiyaz ul
doaj   +1 more source

Spatiotemporal Differences of Agricultural Carbon Income and Expenditure, and Carbon Compensation Potential of Counties in Hunan Province

open access: yesShuitu baochi tongbao, 2023
[Objective] The temporal and spatial differences of agricultural carbon budget and carbon compensation potential were analyzed based on the dual perspectives of carbon emission and carbon absorption in order to provide a theoretical reference for the ...
Han Chaoyue   +3 more
doaj   +1 more source

Measurement and convergence of carbon productivity across Shanghai’s manufacturing sectors [PDF]

open access: yesInternational Journal of Climate Change Strategies and Management, 2020
Purpose – Increasing carbon productivity is an effective way to reduce carbon emissions, while boosting economic prosperity. For appropriate formulating and enforcement of energy saving and carbon emissions reduction policies in various sectors, it is of
Runong Xu, Yuming Wu, Yao Huang
doaj   +1 more source

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