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We describe graph implementations, a generic method for representing a convex function via its epigraph, described in a… Expand This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time… Expand This second edition provides a thorough introduction to contemporary convex function theory with many new results. A large… Expand A theory of “discrete convex analysis” is developed for integer-valued functions defined on integer lattice points. The theory… Expand 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 We investigate starlike functions f(z) = z + Yfk=2akzk wim the property that zf'(z)/'f(z) lies inside a certain parabola. These… Expand Convex Functions. Jensen's and Jensen-Steffensen's Inequalities. Reversals, Refinements, and Converses of Jensen's and Jensen… Expand We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex… Expand 1. Introductory Topics.- 1. Essential Notions and Propositions of Functional Analysis.- 1.1 Topological Vector Spaces and Related… Expand Since the classical work of Minkowski and Jensen it is well known that many of the inequalities used in analysis may be… Expand