Theory and Modern Applications
Table 2 Approximate values of Example 2
From: Triangular integrals for 2-, 3- and 4-variable functions
n | L | R | R − L |
|---|---|---|---|
2 | 0 | 0 | 0 |
4 | 1.06694173… | 2.18060515… | +1.11366341… |
8 | 2.40955699… | 2.64197558… | +0.23241859… |
16 | 2.56697581… | 2.62093273… | +0.05395691… |
32 | 2.56645589… | 2.57577633… | +0.00932043… |
64 | 2.54629327… | 2.54651836… | +0.00022508… |
128 | 2.53136275… | 2.53038066… | −0.00098209… |
256 | 2.52270918… | 2.52194728… | −0.00076189… |
512 | 2.51808880… | 2.51764056… | −0.00044824… |
1,024 | 2.51570568… | 2.51546479… | −0.00024088… |
2,048 | 2.51449594… | 2.51437132… | −0.00012462… |
4,096 | 2.51388654… | 2.51382318… | −0.00006335… |
8,192 | 2.51358071… | 2.51354877… | −0.00003194… |
16,384 | 2.51342750… | 2.51341147… | −0.00001602… |
32,768 | 2.51335080… | 2.51334280… | −0.00000799… |
⋮ | ⋮ | ⋮ | ⋮ |
∞ | 2.51327412… | 2.51327412… | ±0 |