Email this article A condition for almost everywhere convergence of orthorecursive expansions
- Authors: Galatenko V.1, Lukashenko T.1, Sadovnichii V.1
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Affiliations:
- Moscow State University, Faculty of Mechanics and Mathematics
- Issue: Vol 71, No 5 (2016)
- Pages: 191-195
- Section: Article
- URL: https://journal-vniispk.ru/0027-1322/article/view/164374
- DOI: https://doi.org/10.3103/S002713221605003X
- ID: 164374
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Abstract
An almost everywhere convergence condition with the Weyl multiplier W111111111(n) = v n is obtained for orthorecursive expansions that converge to the expanded function in L2.
About the authors
V.V. Galatenko
Moscow State University, Faculty of Mechanics and Mathematics
Author for correspondence.
Email: vgalat@imscs.msu.ru
Russian Federation, Leninskie Gory, Moscow, 119991
T.P. Lukashenko
Moscow State University, Faculty of Mechanics and Mathematics
Email: vgalat@imscs.msu.ru
Russian Federation, Leninskie Gory, Moscow, 119991
V.A. Sadovnichii
Moscow State University, Faculty of Mechanics and Mathematics
Email: vgalat@imscs.msu.ru
Russian Federation, Leninskie Gory, Moscow, 119991
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