An alternative note on the Schur-convexity of the extended mean values

The Schur-convex and Schur-concave properties with (x, y) in (0,∞) × (0,∞) for fixed (r, s) of the extended mean values E(r, s; x, y) are researched again, some errors in [F. Qi, J. Sandor, S. S. Dragomir, and A. Sofo, Notes on the Schur-convexity of the extended mean values, Taiwanese J. Math. 9, (3) (2005), 411–420. RGMIA Res. Rep. Coll. 5 (2002), no. 1, Art. 3, 19–27. Available online at URL: http://rgmia.vu.edu.au/v5n1.html.] are corrected. Mathematics subject classification (2000): 26B25, 26E60, 26D07, 26D20.