Pregled bibliografske jedinice broj: 787293
A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k
A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k // Journal of Mathematical Inequalities, 9 (2015), 4; 1093-1114 doi:10.7153/jmi-09-84 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 787293 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k
Autori
Matković, Anita ; Pečarić, Josip ; Perić, Jurica
Izvornik
Journal of Mathematical Inequalities (1846-579X) 9
(2015), 4;
1093-1114
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jessen-Mercer inequality ; convex functions ; convex hulls ; n-exponential convexity ; Stolarsky type means
Sažetak
A refinement of the Jessen-Mercer inequality is obtained and shown to be an improvement of the upper bound for the Jessen’s difference. Also a generalization of the Jessen-Mercer inequality for convex functions on convex hulls in R^k is given. An elegant method of producing n- exponentially convex and exponentially convex functions is applied using the Jessen-Mercer differences. Lagrange and Cauchy mean value type theorems are proved and shown to be useful in studying Stolarsky type means defined by using the Jessen-Mercer differences.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
INSTITUT IGH, d.d.,
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
