L_p（1＜p＜∞）上下半连续函数的HLDER次微分逼近中值定理

Hlder Subdifferential of Lower Semicontinuous Functions On the L_p(1<p<∞)

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 Lp 上对 Holder次微分来证明上述性质 。

This present paper show that property and approximate mean value theorem for Hlder subdifferential of lower semicontinuous functions on the L p(1<p<∞).