Inequalities between Arithmetic-Geometric, Gini, and Toader Means

Table 2

Comparison of ℰ(𝑟) with 𝐽(𝑟) for some 𝑟∈(0,1).

𝑟	ℰ(𝑟)	𝐽(𝑟)
0.1	1.566861942021⋯	1.566861942028⋯
0.2	1.554968546⋯	1.554968548⋯
0.3	1.534833465⋯	1.534833516⋯
0.4	1.505941612⋯	1.505942206⋯
0.5	1.467462209⋯	1.467466484⋯
0.6	1.418083394⋯	1.418107161⋯
0.7	1.355661136⋯	1.355777213⋯
0.8	1.276349943⋯	1.276910677⋯