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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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Papers overview

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Highly Cited
2008
Highly Cited
2008
We describe graph implementations, a generic method for representing a convex function via its epigraph, described in a… 
Highly Cited
2008
Highly Cited
2008
In this paper a Hadamard’s type inequalities for s–convex functions in both sense and s–convex functions on the co–ordinates are… 
Highly Cited
2006
Highly Cited
2006
Abstract In an online convex optimization problem a decision-maker makes a sequence of decisions, i.e., chooses a sequence of… 
Highly Cited
2005
Highly Cited
2005
This second edition provides a thorough introduction to contemporary convex function theory with many new results. A large… 
Highly Cited
1998
Highly Cited
1998
A theory of “discrete convex analysis” is developed for integer-valued functions defined on integer lattice points. The theory… 
Review
1998
Review
1998
Preface 1. Introduction Overview A Brief History of LMIs in Control Theory Notes on the Style of the Book Origin of the Book 2… 
Highly Cited
1993
Highly Cited
1993
. We investigate starlike functions f(z) = z + Yfk=2akzk wim the property that zf'(z)/'f(z) lies inside a certain parabola. These… 
Highly Cited
1989
Highly Cited
1989
  • P. M. Vaidya
  • 1989
  • Corpus ID: 29555809
An algorithm for minimizing a convex function over a convex set is given. The notion of a volumetric center of a polytope and a… 
Highly Cited
1976
Highly Cited
1976
Multivalued functions with convex graphs are shown to exhibit certain desirable regularity properties when their ranges have… 
Highly Cited
1949
Highly Cited
1949
Since the classical work of Minkowski and Jensen it is well known that many of the inequalities used in analysis may be…