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Convex function
Known as:
Convex functions
, Convex (function)
, Convex
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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
49 relations
AMPL
AdaBoost
Arrow–Debreu model
Calculus of variations
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Broader (1)
Convex analysis
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2008
Highly Cited
2008
Graph Implementations for Nonsmooth Convex Programs
Michael Grant
,
Stephen P. Boyd
Recent Advances in Learning and Control
2008
Corpus ID: 122657606
We describe graph implementations, a generic method for representing a convex function via its epigraph, described in a…
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Highly Cited
2008
Highly Cited
2008
Hadamard-Type Inequalities for s-Convex Functions
M. Alomari
,
M. Darus
2008
Corpus ID: 2822511
In this paper a Hadamard’s type inequalities for s–convex functions in both sense and s–convex functions on the co–ordinates are…
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Highly Cited
2006
Highly Cited
2006
Logarithmic regret algorithms for online convex optimization
Elad Hazan
,
A. Agarwal
,
Satyen Kale
Machine-mediated learning
2006
Corpus ID: 11569359
Abstract In an online convex optimization problem a decision-maker makes a sequence of decisions, i.e., chooses a sequence of…
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Highly Cited
2005
Highly Cited
2005
Convex Functions and Their Applications: A Contemporary Approach
Constantin P. Niculescu
,
L. Persson
2005
Corpus ID: 124865534
This second edition provides a thorough introduction to contemporary convex function theory with many new results. A large…
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Highly Cited
1998
Highly Cited
1998
Discrete convex analysis
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…
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Review
1998
Review
1998
Linear Matrix Inequalities In System And Control Theory
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…
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Highly Cited
1993
Highly Cited
1993
Uniformly convex functions and a corresponding class of starlike functions
F. Rønning
1993
Corpus ID: 204013078
. We investigate starlike functions f(z) = z + Yfk=2akzk wim the property that zf'(z)/'f(z) lies inside a certain parabola. These…
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Highly Cited
1989
Highly Cited
1989
A new algorithm for minimizing convex functions over convex sets
P. M. Vaidya
30th Annual Symposium on Foundations of Computer…
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…
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Highly Cited
1976
Highly Cited
1976
Regularity and Stability for Convex Multivalued Functions
S. M. Robinson
Mathematics of Operations Research
1976
Corpus ID: 31694783
Multivalued functions with convex graphs are shown to exhibit certain desirable regularity properties when their ranges have…
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Highly Cited
1949
Highly Cited
1949
On Conjugate Convex Functions
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…
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