书目名称 | Generalized Convexity and Optimization |
副标题 | Theory and Applicati |
编辑 | Alberto Cambini,Laura Martein |
视频video | |
概述 | Unified framework of the most relevant results.With proofs, exercises and solutions.Useful tool for researchers as well as advanced students.Includes supplementary material: |
丛书名称 | Lecture Notes in Economics and Mathematical Systems |
图书封面 |  |
描述 | .The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions, which are the many non-convex functions that share at least one of the valuable properties of convex functions and which are often more suitable for describing real-world problems. The book will be a useful tool not only for researchers, but also for graduates and advanced students working in economics, mathematical programming, the management sciences and operations research. It begins with a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their applications. The text continues with an introductory chapter devoted to generalized monotonicity and its relationship to generalized convexity, with the characterizations of important classes of fractional programming, and with theoretical properties and sequential methods. The book also includes numerous exercises and two appendices which list the findings consulted..."I can highly recommend this excellent new volume to anyone who is trying to teach on generalized convexity/generalized monotonicity in an applied mathematics |
出版日期 | Book 2009 |
关键词 | Convexity; Fractional Programming; Generalized Convexity; Generalized Monotonicity; Operations Research; |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-70876-6 |
isbn_softcover | 978-3-540-70875-9 |
isbn_ebook | 978-3-540-70876-6Series ISSN 0075-8442 Series E-ISSN 2196-9957 |
issn_series | 0075-8442 |
copyright | Springer-Verlag Berlin Heidelberg 2009 |