On translativity of absolute Riesz summability

In this work we characterize translativity of the summability |R,pn|k, k>1, for any sequence (pn) without imposing the conditions given by Orhan [C. Orhan, Translativity of absolute weighted mean summability, Czechoslovak Math. J. 48 (1998) 755-761], and so deduce some known results.