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

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DOI: 10.4236/am.2013.411A1002    2,552 Downloads   3,805 Views   Citations

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].

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

M. Grigoryan and A. Minasyan, "Representation of Functions in L1μ Weighted Spaces by Series with Monotone Coefficients in the Walsh Genrealized System," Applied Mathematics, Vol. 4 No. 11A, 2013, pp. 6-12. doi: 10.4236/am.2013.411A1002.

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