Pregled bibliografske jedinice broj: 721834
Improvement of Jensen's inequality in term of Gateaux derivatives for convex functions in linear spaces with applications
Improvement of Jensen's inequality in term of Gateaux derivatives for convex functions in linear spaces with applications // Kyungpook mathematical journal, 52 (2012), 4; 495-511 (međunarodna recenzija, članak, znanstveni)
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Naslov
Improvement of Jensen's inequality in term of Gateaux derivatives for convex functions in linear spaces with applications
Autori
Khan, Muhammad Adil ; Khalid, Sadia ; Pečarić, Josip
Izvornik
Kyungpook mathematical journal (0454-8124) 52
(2012), 4;
495-511
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen's inequality; Gateaux derivatives; convex functions; linear spaces
Sažetak
ABSTRACT In this paper, we prove some inequalities in terms of Gateaux derivatives for convex functions defined on linear spaces and also give improvement of Jensen's inequality. Furthermore, we give applications for norms, mean f-deviations and f-divergence measures.
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:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
