Pregled bibliografske jedinice broj: 678046
General Opial type inequality
General Opial type inequality // Aequationes mathematicae, 89 (2015), 3; 641-655 doi:10.1007/s00010-013-0252-4 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 678046 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
General Opial type inequality
Autori
Barbir, Ana ; Krulić Himmelreich, Kristina ; Pečarić, Josip
Izvornik
Aequationes mathematicae (0001-9054) 89
(2015), 3;
641-655
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Opial inequality; Green function; Jensen inequality; Lidstone polynomial; Hermite interpolating polynomial
Sažetak
In this paper our goal is to give general Opial type inequality. We consider two functions, convex and concave and prove a new general inequality on a measure space. The obtained inequalities are not direct generalizations of the Opial inequality but are of Opial type because the integrals contain function and its integral representation. We apply our result to numerous symmetric functions and obtain new results that involve Green's functions, Lindstone series and the Hermite's interpolating polynomials.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
083-0000000-3227 - PRIMJENA ALGEBRE U GEOMETRIJI 2
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split
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::
- Zentrallblatt für Mathematik/Mathematical Abstracts
