OPTIMAL CONVEX COMBINATION BOUNDS OF THE CENTROIDAL AND HARMONIC MEANS FOR THE SEIFFERT MEAN

We find the greatest value α and the least value β such that the double inequality αT (a, b) + (1− α)H(a, b) 0 with a 6= b. Here T (a, b), H(a, b) and P (a, b) denote the Centroidal, harmonic, and the Seiffert means of two positive numbers a and b, respectively. AMS Subject Classification: 26D15