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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… Expand
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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… Expand
Highly Cited
2006
Highly Cited
2006
This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time… Expand
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Highly Cited
2005
Highly Cited
2005
This second edition provides a thorough introduction to contemporary convex function theory with many new results. A large… Expand
Highly Cited
1998
Highly Cited
1998
  • K. Murota
  • Math. Program.
  • 1998
  • Corpus ID: 8540543
A theory of “discrete convex analysis” is developed for integer-valued functions defined on integer lattice points. The theory… Expand
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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… Expand
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… Expand
Highly Cited
1992
Highly Cited
1992
Convex Functions. Jensen's and Jensen-Steffensen's Inequalities. Reversals, Refinements, and Converses of Jensen's and Jensen… Expand
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… Expand
Review
1985
Review
1985
1. Introductory Topics.- 1. Essential Notions and Propositions of Functional Analysis.- 1.1 Topological Vector Spaces and Related… Expand
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… Expand