Pregled bibliografske jedinice broj: 525516
Further bounds for Hardy type differences
Further bounds for Hardy type differences // Acta mathematica sinica-english series, 28 (2012), 6; 1091-1102 doi:10.1007/s10114-012-0592-3 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 525516 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Further bounds for Hardy type differences
Autori
Krulić, Kristina ; Pečarić, Josip ; Pokaz, Dora
Izvornik
Acta mathematica sinica-english series (1439-8516) 28
(2012), 6;
1091-1102
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities; Boas inequality; superquadratic function; subquadratic function
Sažetak
In this paper we define a functional as a difference between the right-hand side and left- hand side of the refined Boas type inequality using the notation of superquadratic and subquadratic functions and study its properties, such as exponential and logarithmic convexity. We also, state and prove improvements and reverses of new weighted Boas type inequalities. As a special case of our result we obtain improvements and reverses of the Hardy inequality and its dual inequality. We introduce new Cauchy type mean and prove monotonicity property of this mean.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
082-0000000-0893 - Krivulje i plohe u euklidskom i neeuklidskim prostorima
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Građevinski fakultet, Zagreb,
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
