Representation of Functions in L1μ Weighted Spaces by Series with Monotone Coefficients in the Walsh Genrealized System - Applied Mathematics

AM > Vol.4 No.11, November 2013

Volume 4, Issue 11 (November 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Representation of Functions in L¹_μ Weighted Spaces by Series with Monotone Coefficients in the Walsh Genrealized System ()

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DOI: 10.4236/am.2013.411A1002 2,934 Downloads 4,478 Views Citations

Author(s)

Martin Grigoryan, Artavazd Minasyan

Affiliation(s)

Department of Physics, Yerevan State University, Yerevan, Armenia.

ABSTRACT

Let is the Walsh generalized system. In the paper constructed a weighted space , and series in the Walsh generalized system with monotonically decreasing coefficient such that for each function in the space one can find a subseries that converges to in the weighted and almost everywhere on [0,1].

KEYWORDS

Orthonormal System; Convergence; Functional Series

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μ Weighted Spaces by Series with Monotone Coefficients in the Walsh Genrealized System">

Grigoryan, M. and Minasyan, A. (2013) Representation of Functions in L¹_μ Weighted Spaces by Series with Monotone Coefficients in the Walsh Genrealized System. Applied Mathematics, 4, 6-12. doi: 10.4236/am.2013.411A1002.

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