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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

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Highly Cited
2011
Highly Cited
2011
This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A… Expand
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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… Expand
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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
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Highly Cited
2003
Highly Cited
2003
Convex programming involves a convex set F ⊆ Rn and a convex cost function c : F → R. The goal of convex programming is to find a… Expand
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Highly Cited
1997
Highly Cited
1997
Dedicated to Hoang Tuy on the occasion of his seventieth birthday Abstract. This paper is devoted to a thorough study on convex… Expand
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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
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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
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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
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Highly Cited
1987
Highly Cited
1987
A theory of “discrete convex analysis” is developed for integer-valued functions defined on integer lattice points. The theory… Expand
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