实值函数列的一致Henstock可积性及收敛定理

本文证明了在一致可积的条件下可对Henstock可积函数列逐项积分;并证明了一致可积性比[1]中的几个收敛定理的条件弱。     

New compound from Euphorbia alatavica Boiss

One new compound alatavinol (1), together with five known compounds, kaempferol (2), quercetin (3), laricircsinol (4), secoisolariciresinol (5) and loliolide (6) were isolated from the whole plant of Euphorbia alatavica Boiss. Those compounds were isolated and purified by various column chromatographic methods and their structures were elucidated by spectroscopic (1D, 2D NMR, and HR-MS) chemical analyses. All compounds were isolated for the first time from E. alatavica Boiss, and biochemical pathway of the new compound has been hypothesized. Furthermore, these compounds were evaluated for antioxidant properties based on the DPPH radical scavenging activities. Results showed that IC₅₀ values of compounds 1, 3, 4, 5 and 6 were 25.69, 1.88, 2.87, 11.55 and 17.81 μg/mL, respectively, as compared to the control ascorbic acid (5.34 μg/mL).