From: Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean
r | \(\boldsymbol{\mathcal{K}(r)}\) | H ( r ) |
---|---|---|
0.1 | 1.5747455615⋯ | 1.5747455614⋯ |
0.2 | 1.5868678474⋯ | 1.5868678471⋯ |
0.3 | 1.608048619⋯ | 1.608048612⋯ |
0.4 | 1.63999986⋯ | 1.63999977⋯ |
0.5 | 1.68575035⋯ | 1.68574965⋯ |
0.6 | 1.75075380⋯ | 1.75074958⋯ |
0.7 | 1.84569400⋯ | 1.84567106⋯ |
0.8 | 1.99530278⋯ | 1.99517293⋯ |