Results 211 to 220 of about 2,263,118 (235)

The surprising almost everywhere convergence of Fourier–Neumann series [PDF]

open access: yesJournal of Computational and Applied Mathematics, 2009
For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhere convergence for functions in Lp requires very complicated research, harder than in the case of the mean convergence.
Óscar Ciaurri, Juan Luis Varona
exaly   +2 more sources

Mean and Almost Everywhere Convergence of Fourier–Neumann Series [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 1999
Let Jμ denote the Bessel function of order μ. The functions x−α/2−β/2−1/2Jα+β+2n+1(x1/2), n=0,1,2,…, form an orthogonal system in L2((0,∞),xα+βdx) when α+β>−1. In this paper we analyze the range of p, α, and β for which the Fourier series with respect to
Óscar Ciaurri   +2 more
exaly   +2 more sources

The Bochner–Riesz means for Fourier–Bessel expansions: Norm inequalities for the maximal operator and almost everywhere convergence

open access: yesJournal of Approximation Theory, 2013
In this paper, we develop a thorough analysis of the boundedness properties of the maximal operator for the Bochner-Riesz means related to the Fourier-Bessel expansions. For this operator, we study weighted and unweighted inequalities in the spaces L p ((
Óscar Ciaurri, Luz Roncal
exaly   +2 more sources

Convergence Almost Everywhere of Partial Sums and Féjer Means of Vilenkin–Fourier Series

open access: yesMediterranean Journal of Mathematics
We characterize subsequences {Snk} of partial sums with respect to (bounded or unbounded) Vilenkin systems of f ∈ L1(Gm) for which almost everywhere convergence holds.
Giorgi Tephnadze, Lars-Erik Persson
exaly   +2 more sources

Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods [PDF]

open access: yesMediterranean Journal of Mathematics, 2022
The concept of Vilenkin-Lebesgue points was introduced in [12], where the almost everywhere convergence of Fejer means of Vilenkin-Fourier series was proved.
Lars-Erik Persson   +2 more
exaly   +2 more sources

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