Napredna pretraga

Pregled bibliografske jedinice broj: 787293

A refinement of the Jessen-Mercer inequality and a generalization on convex hulls in R^k


Matković, Anita; Pečarić, Josip; Perić, Jurica
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)


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


Projekt / tema
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (Josip Pečarić, )

Ustanove
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
INSTITUT IGH, d.d.,
Tekstilno-tehnološki fakultet, Zagreb

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


Citati