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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convex sets with Oka complements
Oka补 凸集 Oka流形
2023/11/29
It is now known that the complement of any polynomially convex compact set K in C^n is an Oka manifold. In particular this holds if K is convex. I will discuss a recent result, joint with Forstneri?, ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-order methods for convex optimization and monotone inclusions under local Lipschitz conditions
局部利普希茨条件 凸优化 单调夹杂物 一阶方法
2023/5/6
In this talk, we first consider convex optimization whose smooth components have a locally Lipschitz continuous gradient and propose a first-order method for finding an epsilon-KKT solution. We then c...
CRCD program: convex optimization for engineering analysis and design
Convex optimization engineering analysis the numerical values
2015/8/11
The focus of this NSF-supported combined research and curriculum development (CRCD) project is convex optimization applied to engineering analysis and design. The basic idea is that many analysis and ...
Hadamard Product Of Certain Meromorphic $p-$Valent Starlike and $p-$Valent Convex Functions
Meromorphic $p$-valent Hadamard product
2010/1/22
In this paper, we establish some results concerning the Hadamard product of certain meromorphic p-valent starlike and meromorphic p-valent convex functions analogous to those obtained by Vinod Kumar (...
Sequence Inequalities for the Logarithmic Convex (Concave) Function
Alzer’s inequality Kuang’s inequality Logarithmic convex Logarithmic concave
2008/11/25
Let f be a positive strictly increasing logarithmic convex (or logarithmic concave)
function on (0; 1], then, for k being a nonnegative integer and n a natural number,
the sequence 1
n Pn+k
i=k+1 ...
Inequalities for 3-log-convex Functions
Logarithmic derivative Convexity Gamma function Digamma function Extended means
2010/1/22
This note gives a simple method for obtaining inequalities for ratios involving 3-log-convex functions. As an example, an inequality for Wallis's ratio of Gautchi-Kershaw type is obtained. Inequalitie...