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Convex function

Known as: Convex functions, Convex (function), Convex 
In mathematics, a real-valued function defined on an interval is called convex (or convex downward or concave upward) if the line segment between any… 
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Related topics

Related topics

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AMPLAdaBoostArrow–Debreu modelCalculus of variations

Broader (1)

Convex analysis

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2013
Highly Cited
2013
Hermite-Hadamard type inequalities for harmonically convex functions
The author introduces the concept of harmonically convex functions and establishes some Hermite-Hadamard type inequalities of… 
Highly Cited
2013
Highly Cited
2013
Saliency Detection: A Boolean Map Approach
A novel Boolean Map based Saliency (BMS) model is proposed. An image is characterized by a set of binary images, which are… 
Highly Cited
2011
Highly Cited
2011
Imputing a convex objective function
We consider an optimizing process (or parametric optimization problem), i.e., an optimization problem that depends on some… 
Highly Cited
2011
Highly Cited
2011
Perspectives of matrix convex functions
In this paper, we generalize the main results of [Effros EG, (2009) Proc Natl Acad. Sci USA 106:1006–1008]. Namely, we provide… 
Highly Cited
2009
Highly Cited
2009
Operator log-convex functions and operator means
We study operator log-convex functions on (0, ∞), and prove that a continuous nonnegative function on (0, ∞) is operator log… 
Highly Cited
2007
Highly Cited
2007
P-convex functions and their properties
P-convex functions are defined,some methods to distinguish the P-convex functions are obtained,a theorem respect to convex… 
Review
2004
Review
2004
Complete search in continuous global optimization and constraint satisfaction
This survey covers the state of the art of techniques for solving general-purpose constrained global optimization problems and… 
Highly Cited
2003
Highly Cited
2003
On Some Inequalities for Convex Functions
In the present paper we establish some new integral inequalities analogous to the well known Hadamard’s inequality by using a… 
Highly Cited
2001
Highly Cited
2001
On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
Recently the problem of determining the best, in the least-squares sense, rank-1 approximation to a higher-order tensor was… 
Highly Cited
1960
Highly Cited
1960
Geomorphology and forest ecology of a mountain region in the central Appalachians
The area studied, mostly in the headwaters of the Shenandoah River, Augusta andi Rockingham Counties, Va., includes about 55… 
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