TY - GEN
AU - Krantz, Steven G.
TI - Convex analysis
T2 - Textbooks in mathematics
SN - 9780367237745
U1 - 516.362
PY - 2015///
CY - Boca Raton
PB - CRC Press
KW - Convex geometry
KW - Functional analysis
KW - Operator theory
KW - Discrete geometry
KW - Convex functions
KW - Brunn-Minkowski inequality
KW - Defining function
KW - Exhaustion function
KW - Factorial function
KW - Gamma function
KW - Hausdorff distance
KW - Krein-Milman theorem
KW - Linear programming
KW - Mini Max theorem
KW - Minikowski functional
KW - Ortho -convex set
KW - Subharmonic functions
KW - Targent directions
KW - Approximation
N1 - Includes bibliographical references and index
N2 - 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
ER -