Pregled bibliografske jedinice broj: 651077
Hardy–Littlewood–Pólya-type theorems for invex functions
Hardy–Littlewood–Pólya-type theorems for invex functions // Computers & mathematics with applications, 64 (2012), 4; 518-526 doi:10.1016/j.camwa.2011.12.039 (međunarodna recenzija, članak, znanstveni)
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Naslov
Hardy–Littlewood–Pólya-type theorems for invex functions
Autori
Niezgoda, Marek ; Pečarić, Josip
Izvornik
Computers & mathematics with applications (0898-1221) 64
(2012), 4;
518-526
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex functions; invex functions; majorization; relative invexity
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Josip Pečarić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts