Results 121 to 130 of about 3,602 (157)

Stability of unconditional convergence almost everywhere

Mathematical Notes of the Academy of Sciences of the USSR, 1973
We will investigate the properties of series of functions which are unconditionally convergent almost everywhere on [0, 1]. We will establish the following theorem: If the series σ k=1 ∞ f k(x) converges unconditionally almost everywhere, then there exists a sequence {Βk} 1
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Almost everywhere convergence of weighted averages

Mathematische Annalen, 1992
Given a sequence \((\mu_ n)\) of probability measures on \(Z\), and an invertible measure-preserving transformation \(\tau\) of a probability space \((X,\beta,m)\), the averages \(\mu_ nf(x)=\sum^{\infty}_{k=- \infty}\mu_ n(k)f(\tau^ kx)\) are bounded operators on \(L^ p(m)\), \(1\leq p\leq\infty\).
Bellow, Alexandra, Jones, Roger L., Rosenblatt, Joseph   +2 more
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Order convergence and convergence almost everywhere revisited

2010
In Analysis two modes of non-topological convergence are interesting: order convergence and convergence almost everywhere. It is proved here that oder convergence of sequences can be induced by a limit structure, even a finest one, whenever it is considered in sigma-distributive lattices.
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Almost everywhere convergence of orthogonal series

Acta Mathematica Hungarica, 1985
We say that a function \(\delta\) (x) is a control function for an almost everywhere convergence of \(f_ n(x)\) to f(x) on [0,1], if for every \(\epsilon >0\) there exists an integer n(\(\epsilon)\) such that \(| f_ n(x)-f(x)| 1-\alpha /k ...
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On the almost everywhere convergence of Fourier series

Mathematical Proceedings of the Cambridge Philosophical Society, 1967
Let f be a 2π-periodic function of the class L(−π,π). PutWe call, with Žuk(6), the quantity L(p)(h, f) the L-modulus of smoothness of order p of the function f. Žuk has recently obtained, in (5) and (6), generalizations of a number of classical results on the absolute convergence of Fourier series, as also on the order of Fourier coefficients by ...
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Transference of almost everywhere convergence

The authors show that if \(R\) is a representation of a locally compact abelian group \(G\) in \(L^ p(\Omega,\mu)\), then under certain conditions on \(R\) the sequence \(H_{k_ n}g=\int_ Gk_ n(u)R_{-u}g d\lambda(u)\) converges a.e. for every \(g \in L^ p(\Omega,\mu)\) whenever the sequence \(\{k_ n * f\}\) converges a.e.
Asmar, Nakhlé, Berkson, Earl, Gillespie, T. A.   +2 more
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Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods

Mediterranean Journal of Mathematics, 2022
Lars-Erik Persson, Weisz Ferenc, Persson Lars-Erik   +2 more
exaly  

Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces

Frontiers of Mathematics, 2023
Fayou Zhao, Dashan Fan, Fan Dashan
exaly  

Almost Everywhere Convergence of Multiple Trigonometric Fourier Series of Functions from Sobolev Classes

Mathematical Notes, 2021
Ashurov R R, R R Ashurov
exaly  

Unconditional convergence and almost everywhere convergence

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1976
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