Hardy–Littlewood–Pólya-type theorems for invex functions (CROSBI ID 196898)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Niezgoda, Marek ; Pečarić, Josip
engleski
Hardy–Littlewood–Pólya-type theorems for invex functions
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.
convex functions; invex functions; majorization; relative invexity
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Podaci o izdanju
64 (4)
2012.
518-526
objavljeno
0898-1221
10.1016/j.camwa.2011.12.039