Convex analysis - Boca Raton : CRC Press, 2015 - xiii, 161 p. ; ill., 23 cm - Textbooks in mathematics .

Includes bibliographical references and index.

Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how g.

9780367237745

Convex geometry

Functional analysis

Operator theory

Discrete geometry

Convex functions

Brunn-Minkowski inequality

Defining function

Exhaustion function

Factorial function

Gamma function

Hausdorff distance

Krein-Milman theorem

Linear programming

Mini Max theorem

Minikowski functional

Ortho -convex set

Subharmonic functions

Targent directions

Approximation

516.362 / KRA