Pregled bibliografske jedinice broj: 888372
Extensions and improvements of Sherman’s and related inequalities for n-convex functions
Extensions and improvements of Sherman’s and related inequalities for n-convex functions // Open Mathematics, 15 (2017), 1; 936-947 doi:10.1515/math-2017-0077 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 888372 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Extensions and improvements of Sherman’s and related inequalities for n-convex functions
Autori
Ivelić Bradanović, Slavica ; Pečarić, Josip
Izvornik
Open Mathematics (2391-5455) 15
(2017), 1;
936-947
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Sherman inequality, Majorization inequality, Jensen inequality, n-convex, Green functions, Fink identity, Čebyčev functional, Means
Sažetak
This paper gives extensions and improvements of Sherman's inequality for n-convex functions obtained by using new identities which involve Green's functions and Fink's identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen's inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, 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
