上下半连续函数的H〖AKO¨〗LDER次微分逼近中值定理

建立Banach空间上次微分的逼近中值定理，关键是对连续凸函数g,f的次微分f必须满足(f+λg)(x)f(x)+λg(x)，该文在Lp上对H〖AKo¨D〗lder次微分来证明上述性质，由此建立H〖AKo¨D〗lder次微分下的逼近中值定理。

H[AKo¨D]lder Subdifferential of Lower Semicontinuous FunctionsOn the [WTHX]Lp(1＜p＜∞)

This present paper show that property and approximate mean value theorem for HAKo¨D]lder subdifferential of lower semicontinuous functions on the Lp(1＜p＜∞).