This article is cited in 3 papers

Mathematics

On convergence in $L_1[0,1]$ norm of some irregular linear means of Walsh–Fourier series

L. N. Galoyan

Russian-Armenian (Slavonic) University, Armenia

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.

Keywords: triangular matrix, irregular linear means, Dirichlet kernels.

Received: 22.12.2011
Accepted: 01.02.2012

Language: English