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On the greedy algorithm by the Haar system

Aleksanyan, Hayk, 1987- (author)
Yerevan State University
 (creator_code:org_t)
Springer, 2010
2010
English.
In: Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). - : Springer. - 1068-3623. ; 45:3, s. 151-161
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • The paper investigates the uniform and almost everywhere convergence of the greedy algorithm by the Haar system. Necessary and sufficient conditions for norming the functions of Haar system are obtained, which guarantee the uniformconvergence for functions from C[0, 1] and almost everywhere convergence for functions from L1[0, 1].

Subject headings

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Greedy algorithm
Haar system
uniform convergence
Mathematics
Matematik

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