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Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-17 (2023)
Abstract We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlu
Externí odkaz:
https://doaj.org/article/99dd524fee6b445f8eae68b0e2b7d701
The concept of Vilenkin–Lebesgue points was introduced in [12], where the almost everywhere convergence of Fejer means of Vilenkin–Fourier series was proved. In this paper, we present a different (and simpler) approach to prove a similar result,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d46b862a63f42d0f52c132f8207f1584
https://hdl.handle.net/10037/28093
https://hdl.handle.net/10037/28093