This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists.
• Presents classical and newly published results on convex functions and related inequalities
• Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability
• Demonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functions
• Will generate further research and applications
An advanced and comprehensive treatment of convex functions, along with some related partial orderings and selected applications in probability and statistics. Emphasizes the special role played by inequalities in the theory, noting that the definition of the class of convex functions is itself an inequality. Annotation c. Book News, Inc., Portland, OR (booknews.com)