| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 472306 | Computers & Mathematics with Applications | 2012 | 9 Pages |
Abstract
In this paper, the Hardy–Littlewood–Pólya theorem on majorization is extended from convex functions to invex ones. Some variants for pseudo-invex and quasi-invex functions are also considered. The framework used is that of similarly separable vectors. The results obtained are illustrated for monotonic, monotonic in mean, and star-shaped vectors, respectively. Applications to relative invexity are given.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Marek Niezgoda, Josip Pečarić,