Pregled bibliografske jedinice broj: 713395
Reverses of the Jensen-type inequalities for signed measures
Reverses of the Jensen-type inequalities for signed measures // Abstract and applied analysis, (2014), 626359-1 doi:10.1155/2014/626359 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 713395 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Reverses of the Jensen-type inequalities for signed measures
Autori
Jakšić, Rozarija ; Pečarić, Josip ; Rodić Lipanović, Mirna
Izvornik
Abstract and applied analysis (1085-3375)
(2014);
626359-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Green function; Jensen inequality; converse of the Jensen inequality; mean value theorems; n-exponential convexity; exponential convexity; log-convexity; means
Sažetak
In this paper we derive refinements of the Jensen-type inequalities in the case of real Stieltjes measure, not necessarily positive, which are generalizations of Jensen's inequality and it's reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left-hand and the right-hand side of these inequalities and give several examples of the families of functions for which the obtained results can be applied. The outcome is a new class of Cauchy-type means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
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::
- Computer and Information Systems Abstracts
- INSPEC
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
