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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The constant rank theorem and its applications
常秩定理 半线性方程组 规定曲率 克里斯托费尔-闵可夫斯基问题 魏因加滕曲率问题
2023/5/6
The constant rank theorem was initially developed by Caffarelli-Friedman in 1985 in two-dimensions for convex solutions of semilinear equations. Later, Korevaar-Lewis extended the result to higher dim...
A Note on the Closedness of the Convex Hull and Its Applications
Convex Hull Applications spannability
2009/1/22
This paper answers the following question motivated by the problem of spannability of functions. When is the convex hull of an unbounded (closed) set closed? We provide necessary and sufficient condit...
An Equivalent Form of the Fundamental Triangle Inequality and its Applications
Fundamental triangle inequality Equivalent form Garfunkel-Bankoff inequality Leuenberger's inequality
2010/1/22
An equivalent form of the fundamental triangle inequality is given. The result is then used to obtain an improvement of the Leuenberger's inequality and a new proof of the Garfunkel-Bankoff inequality...
An Inequality About $_3phi_2$ and its Applications
Basic hypergeometric function $_3phi_2$ $q$-binomial theorem $q$-Chu-Vandermonde formula Gruss inequality
2010/1/22
In this paper, we use the terminating case of the -binomial formula, the -Chu-Vandermonde formula and the Gr黶s inequality to drive an inequality about . As applications of the inequality, we discuss ...
期刊信息
篇名
A strongly semismooth integral function and its applications
语种
英文
撰写或编译
撰写
作者
L. Qi,H. Yin
第一作者单位
中国科学院研究生院
刊物名称
J. Computational Optimization and Applications 25 (2003)
页面
pp. 223-246.
出版日期
...