Skip to search formSkip to main contentSkip to account menu

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… 
Wikipedia (opens in a new tab)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
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
2007
Highly Cited
2007
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
  • K. Murota
  • Mathematical programming
  • 1998
  • Corpus ID: 8540543
A theory of “discrete convex analysis” is developed for integer-valued functions defined on integer lattice points. The theory… 
Review
1998
Review
1998
  • E. Yaz
  • Proceedings of the IEEE
  • 1998
  • Corpus ID: 33963932
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
1991
Highly Cited
1991
We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex… 
Highly Cited
1989
Highly Cited
1989
  • P. M. Vaidya
  • 30th Annual Symposium on Foundations of Computer…
  • 1989
  • Corpus ID: 29555809
AbstractLet $$S \subseteq \mathbb{R}^n $$ be a convex set for which there is an oracle with the following property. Given any… 
Review
1985
Review
1985
1. Introductory Topics.- 1. Essential Notions and Propositions of Functional Analysis.- 1.1 Topological Vector Spaces and Related… 
Highly Cited
1949
Highly Cited
1949
  • W. Fenchel
  • Canadian Journal of Mathematics - Journal…
  • 1949
  • Corpus ID: 123431819
Since the classical work of Minkowski and Jensen it is well known that many of the inequalities used in analysis may be…