ON CONVERGENCE IN NORM OF SOME IRREGULAR $L_1[0, 1]$ LINEAR MEANS OF WALSH–FOURIER SERIES

L.N. Galoyan

doi:10.46991/PYSU:A/2012.46.1.010

ON CONVERGENCE IN NORM OF SOME IRREGULAR $L_1[0, 1]$ LINEAR MEANS OF WALSH–FOURIER SERIES

Authors

L.N. Galoyan Russian-Armenian (Slavonic) University, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2012.46.1.010

Keywords:

triangular matrix, irregular linear means, Dirichlet kernels

Abstract

In this paper the convergence in $L_1[0, 1]$ of some irregular linear means of Fourier–Walsh series of integrable functions after correcting these functions on sets of small measure is studied.

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Published

2012-03-06

How to Cite

Galoyan, L. (2012). ON CONVERGENCE IN NORM OF SOME IRREGULAR $L_1[0, 1]$ LINEAR MEANS OF WALSH–FOURIER SERIES. Proceedings of the YSU A: Physical and Mathematical Sciences, 46(1 (227), 10–15. https://doi.org/10.46991/PYSU:A/2012.46.1.010