In this piece of work, we start building some foundational theory about S−convexity (sets and points). We also define S−convex generaliza-tions (for more dimensions, functions). Key-words: convex, S−convex, function, s−convex, s1−convex, s2−convex, 1
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theo...
We derive $C^2$−characterizations for convex, strictly convex, as well as strongly convex functions ...
Convexity, or convex analysis, is an area of mathematics where one studies questions related to two ...
In the first part of this master’s thesis, a convexity of functions of one variable is discussed. Fol...
Two kinds ofs-convexity (0 s 1) are discussed. It is proved among others thats-convexity in the seco...
In this short, but fundamental, note, we start progressing towards a mathematically sound definition...
Convex analysis is a branch of mathematics that studies convex sets, convex functions, and convex ex...
Convexity is important in theoretical aspects of mathematics and also for economists and physicists....
Convexity is important in theoretical aspects of mathematics and also for economists and physicists....
Two kinds ofs-convexity (0 s 1) are discussed. It is proved among others thats-convexity in the seco...
Two kinds ofs-convexity (0 s 1) are discussed. It is proved among others thats-convexity in the seco...
The idea of convexity is very important especially for probability theory, optimization and stochast...
Preface Convex analysis is one of the mathematical tools which is used both explicitly and indirectl...
AbstractIf C ⊆ Rn be a nonempty convex set, then f: C → R is convex function if and only if it is a ...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theo...
We derive $C^2$−characterizations for convex, strictly convex, as well as strongly convex functions ...
Convexity, or convex analysis, is an area of mathematics where one studies questions related to two ...
In the first part of this master’s thesis, a convexity of functions of one variable is discussed. Fol...
Two kinds ofs-convexity (0 s 1) are discussed. It is proved among others thats-convexity in the seco...
In this short, but fundamental, note, we start progressing towards a mathematically sound definition...
Convex analysis is a branch of mathematics that studies convex sets, convex functions, and convex ex...
Convexity is important in theoretical aspects of mathematics and also for economists and physicists....
Convexity is important in theoretical aspects of mathematics and also for economists and physicists....
Two kinds ofs-convexity (0 s 1) are discussed. It is proved among others thats-convexity in the seco...
Two kinds ofs-convexity (0 s 1) are discussed. It is proved among others thats-convexity in the seco...
The idea of convexity is very important especially for probability theory, optimization and stochast...
Preface Convex analysis is one of the mathematical tools which is used both explicitly and indirectl...
AbstractIf C ⊆ Rn be a nonempty convex set, then f: C → R is convex function if and only if it is a ...
Like differentiability, convexity is a natural and powerful property of functions that plays a signi...
6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theo...
We derive $C^2$−characterizations for convex, strictly convex, as well as strongly convex functions ...