Local properties of factored Fourier series

By using a convex sequence Bor [H. Bor, A study on local properties of factored Fourier series, Nonlinear Anal. 57 (2004) 191–197] has obtained a result dealing with local properties of factored Fourier series for |N¯,pn|k summability. In this paper, we have generalized that result for |N¯,pn,θn|k summability. Some new results have also been obtained.