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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…

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

A theory of “discrete convex analysis” is developed for integer-valued functions defined on integer lattice points. The theory…

Review

1998

Review

1998

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

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

Since the classical work of Minkowski and Jensen it is well known that many of the inequalities used in analysis may be…