Iwona Wrobel and Krystyna Zietak, "On the Legendre-based filters of Persson and Strang" In this paper we consider the Legendre-based method of Persson and Strang and its modification for smoothing uniformly spaced data. The considered Legendre-based methods are numerically compared with the classical Savitzky-Golay method for filtering uniformly spaced data. We show how the Legendre-based filters can be extended to irregularly spaced data. key words: smoothing filter, Persson-Strang method, Savitzky-Golay method, uniformly spaced data, irreguraly spaced data