Table 3 Solutions of the inequality (14) for the corresponding values of n and λ
From: On the shape-preserving properties of λ-Bernstein operators
n | λ = 2/3 | λ = 3/4 | λ = 9/10 | λ = 99/100 | λ = 1 |
|---|---|---|---|---|---|
2 | [0,1] | [0,1] | [0,0.68406] | [0,0.60235] | [0,0.59549] |
3 | [0,1] | [0,0.85964] | [0,0.70958] | [0,0.65802] | [0,0.65314] |
4 | [0,0.93051] | [0,0.82643] | [0,0.72916] | [0,0.68982] | [0,0.68598] |
5 | [0,0.89504] | [0,0.82452] | [0,0.74676] | [0,0.71358] | [0,0.71029] |
10 | [0,0.89650] | [0,0.86049] | [0,0.81344] | [0,0.79140] | [0,0.78916] |
15 | [0,0.91618] | [0,0.89009] | [0,0.85422] | [0,0.83676] | [0,0.83496] |
20 | [0,0.93072] | [0,0.91000] | [0,0.88073] | [0,0.86616] | [0,0.86464] |
25 | [0,0.94122] | [0,0.92397] | [0,0.89918] | [0,0.88666] | [0,0.88535] |