Pregled bibliografske jedinice broj: 858183
More accurate Jensen-type inequalities for signed measures characterized via Green function and applications
More accurate Jensen-type inequalities for signed measures characterized via Green function and applications // Turkish Journal of Mathematics, 41 (2017), 6; 1482-1496 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 858183 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
More accurate Jensen-type inequalities for signed
measures characterized via Green function and
applications
Autori
Krnić, Mario ; Pečarić, Josip ; Rodić, Mirna
Izvornik
Turkish Journal of Mathematics (1300-0098) 41
(2017), 6;
1482-1496
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen inequality ; Green function ; refinement ; convex function ; exponetially convex function ; Cauchy-type mean
Sažetak
In this paper we derive several improved forms of the Jensen inequality, giving the necessary and sufficient conditions for them to hold in case of the real Stieltjes measure, not necessarily positive. The obtained relations are characterized via the Green function. As an application, our main results are employed for constructing some classes of exponentially convex functions and some Cauchy-type means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
--IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
