Convex Cones, Sets, and Functions
Author | : Werner Fenchel |
Publisher | : |
Total Pages | : 336 |
Release | : 1953 |
Genre | : Convex bodies |
ISBN | : |
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Author | : Werner Fenchel |
Publisher | : |
Total Pages | : 336 |
Release | : 1953 |
Genre | : Convex bodies |
ISBN | : |
Author | : W. Fenchel |
Publisher | : |
Total Pages | : |
Release | : 1951 |
Genre | : |
ISBN | : |
Author | : |
Publisher | : Academic Press |
Total Pages | : 321 |
Release | : 1974-02-08 |
Genre | : Mathematics |
ISBN | : 0080873723 |
Convex Functions
Author | : Richard Becker |
Publisher | : Editions Hermann |
Total Pages | : 278 |
Release | : 2006 |
Genre | : Cone |
ISBN | : |
Author | : Steven R. Lay |
Publisher | : Courier Corporation |
Total Pages | : 260 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 0486458032 |
Suitable for advanced undergraduates and graduate students, this text introduces the broad scope of convexity. It leads students to open questions and unsolved problems, and it highlights diverse applications. Author Steven R. Lay, Professor of Mathematics at Lee University in Tennessee, reinforces his teachings with numerous examples, plus exercises with hints and answers. The first three chapters form the foundation for all that follows, starting with a review of the fundamentals of linear algebra and topology. They also survey the development and applications of relationships between hyperplanes and convex sets. Subsequent chapters are relatively self-contained, each focusing on a particular aspect or application of convex sets. Topics include characterizations of convex sets, polytopes, duality, optimization, and convex functions. Hints, solutions, and references for the exercises appear at the back of the book.
Author | : Werner Fenchel |
Publisher | : |
Total Pages | : 152 |
Release | : 1953 |
Genre | : Convex surfaces |
ISBN | : |
Author | : Eugene K. McLachlan |
Publisher | : |
Total Pages | : 70 |
Release | : 1955 |
Genre | : Convex domains |
ISBN | : |
Author | : Klaus Keimel |
Publisher | : Springer |
Total Pages | : 140 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540470794 |
This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.
Author | : Frederick Albert Valentine |
Publisher | : |
Total Pages | : 264 |
Release | : 1975 |
Genre | : Mathematics |
ISBN | : |
Author | : Valeriu Soltan |
Publisher | : World Scientific |
Total Pages | : 611 |
Release | : 2019-11-28 |
Genre | : Mathematics |
ISBN | : 9811202133 |
The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the n-dimensional Euclidean space. It benefits advanced undergraduate and graduate students with various majors in mathematics, optimization, and operations research. It may be adapted as a primary book or an additional text for any course in convex geometry or convex analysis, aimed at non-geometers. It can be a source for independent study and a reference book for researchers in academia.The second edition essentially extends and revises the original book. Every chapter is rewritten, with many new theorems, examples, problems, and bibliographical references included. It contains three new chapters and 100 additional problems with solutions.