On the local properties of factored Fourier series

Quite recently, Bor [H. Bor, On the local properties of factored of Fourier series, Bull. Math. Anal. Appl. 1 (2009) 15-21] proved a theorem on the local property of |N¯,pn,θn|k summability of factored Fourier series. The purpose of this paper is to extend to more general cases by taking normal matrices in place of weighted mean matrices.