Abstract

We find the greatest values p1, p2 and least values q1, q2 such that the double inequalities and hold for all a, b > 0 with a ≠ b and present some new bounds for the complete elliptic integrals. Here M(a, b), T(a, b), and Sp(a, b) are the arithmetic‐geometric, Toader, and pth Gini means of two positive numbers a and b, respectively.

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