“…Extending Hardy-Littlewood's concept of strong (C, 1) summability to Cesàro methods (C, α) of order α ≥ 0, Hyslop [8] arrived at his notion of strong convergence. Subsequently, this was successfully applied to the study of trigonometric series in several papers written by N. Tanović-Miller and her co-workers [16,17,18,13,14]. Strong convergence of trigonometric series attracts attention because of its position between ordinary and absolute convergence [4,16,17].…”