Derivatives of the Lp-cosine transform
- 作者：Lonke ; Yossi
- 刊名：Advances in Mathematics
- 出版年：2003
- 期刊代码：62_00018708
- 类别：mt
- 出版时间：June 25, 2003
- 卷：176
- 期：2
- 页码：175-186
- 文件大小：174 K
摘要
The Cannot display formula is not an even integer then all partial derivatives of even order of H(x) up to order p+1 (including p+1 if p is an odd integer) exist and are continuous everywhere in Rn
{0}. As a result of the corresponding differentiation formula, we show that if f is a positive bounded function and p>1 then H1/p is a support function of a convex body whose boundary has everywhere positive Gauss–Kronecker curvature.
{0}. As a result of the corresponding differentiation formula, we show that if f is a positive bounded function and p>1 then H1/p is a support function of a convex body whose boundary has everywhere positive Gauss–Kronecker curvature.