- (i) f(0)0 and f is n-convex in [0,α),
- (ii) For each matrix a with its spectrum in [0,α) and a contraction c in the matrix algebra Mn,f(cac)cf(a)c,
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共查询到20条相似文献,搜索用时 15 毫秒
1.
RUAN Yingbin Department of Mathematics Fujian Normal University Fuzhou China Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing China 《中国科学A辑(英文版)》2005,48(5):703-710
We discuss the relationship between Lipschitz functions and convex functions. By these relations, we give a sufficient condition for the set of points where Lipschitz functions on a Hilbert space is Frechet differentiate to be residual. 相似文献
2.
F. Giannessi 《Journal of Optimization Theory and Applications》1988,59(3):525-525
A conjecture is made on convex functions. It leads to the problem of characterizing a class of convex functions, which is of interest both from the theoretical point of view and in the field of minimization methods. 相似文献
3.
There are basic equivalent assertions known for operator monotone functions and operator convex functions in two papers by Hansen and Pedersen. In this note we consider their results as correlation problem between two sequences of matrix n-monotone functions and matrix n-convex functions, and we focus the following three assertions at each label n among them:
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