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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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