Marcinkiewicz summability of Fourier series, Lebesgue points and strong summability
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-017-0737-z
Abstract: Under some conditions on $${\theta}$$θ, we characterize the set of convergence of the Marcinkiewicz-$${\theta\mbox{-}}$$θ-means of a function $${f \in L_1(\mathbb{T}^d)}$$f∈L1(Td). More exactly, the $${\theta\mbox{-}}$$θ-means converge to f at each modified strong Lebesgue point. The same… read more here.
Keywords: summability; lebesgue points; lebesgue; marcinkiewicz ... See more keywords
A note on the strong summability of two-dimensional Walsh–Fourier series
Sign Up to like & getrecommendations! Published in 2020 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2020-2060
Abstract: Abstract In this paper, we investigate the strong summability of two-dimensional Walsh–Fourier series obtained in [F. Weisz, Strong convergence theorems for two-parameter Walsh–Fourier and trigonometric-Fourier series, Studia Math. 117 1996, 2, 173–194] (see Theorem W)… read more here.
Keywords: summability two; walsh fourier; two dimensional; fourier series ... See more keywords