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

DOI: 10.4236/am.2013.411A1002   PDF   HTML     2,662 Downloads   3,936 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].

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

Conflicts of Interest

The authors declare no conflicts of interest.

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