896483.fig.002
Figure 2: The shading areas are respectively denoted by the subsets Ω 𝑖 for 𝑖 = 1 , 2 , , 5 . The function 𝑓 𝛼 , 𝛽 ( 𝑥 ) is strictly logarithmically completely monotonic on ( 0 , ) if ( 𝛼 , 𝛽 ) Ω 1 Ω 2 , and [ 𝑓 𝛼 , 𝛽 ( 𝑥 ) ] 1 is strictly logarithmically completely monotonic on ( 0 , ) if ( 𝛼 , 𝛽 ) Ω 3 Ω 4 Ω 5 .