The Shape of the Borwein-Affleck-Girgensohn Function Generated by Completely Monotone and Bernstein Functions
نویسندگان
چکیده
Borwein, Affleck, and Girgensohn (2000) posed a problem concerning the shape (that is, convexity, log-convexity, reciprocal concavity) of a certain function of several arguments that had manifested in a number of contexts concerned with optimization problems. In this paper we further explore the shape of the Borwein-Affleck-Girgensohn function and especially its extensions generated by completely monotone and Bernstein functions. AMS 2010 Classification: 26A48 Monotonic functions, generalizations 26A51 Convexity, generalizations 26B25 Convexity, generalizations 47N10 Applications in optimization, convex analysis, mathematical programming, economics 52A41 Convex functions and convex programs
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ورودعنوان ژورنال:
- J. Optimization Theory and Applications
دوره 160 شماره
صفحات -
تاریخ انتشار 2014