Pregled bibliografske jedinice broj: 840941
Exponential convexity for Jensen’s inequality for norms
Exponential convexity for Jensen’s inequality for norms // Journal of inequalities and applications, 2016 (2016), 54; 1-8 doi:10.1186/s13660-016-1009-0 (međunarodna recenzija, članak, znanstveni)
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Naslov
Exponential convexity for Jensen’s inequality for norms
Autori
Jakšetić, Julije ; Naeem, Rishi ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1029-242X) 2016
(2016), 54;
1-8
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function ; exponentially convex function ; mean value theorems ; Stolarsky means
Sažetak
N this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42, 1988). We also give mean value theorems of Lagrange and Cauchy types. Finally, we construct means with Stolarsky property.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Fakultet strojarstva i brodogradnje, Zagreb
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
