Pregled bibliografske jedinice broj: 542529
A new general Boas-type inequality and related Cauchy-type means
A new general Boas-type inequality and related Cauchy-type means // Mathematical Inequalities and Applications, 15 (2012), 3; 599-617 doi::10.7153/mia-15-53 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 542529 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A new general Boas-type inequality and related Cauchy-type means
Autori
Čižmešija, Aleksandra ; Pečarić Josip ; Pokaz, Dora
Izvornik
Mathematical Inequalities and Applications (1331-4343) 15
(2012), 3;
599-617
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Boas inequality; Hardy-Littlewood average; Boas differences; Cauchy means
Sažetak
We prove a new Boas-type inequality in a context of topological spaces and general $\sigma$-finite Borel measures. This enables us to introduce an one-parameter class of non-negative Boas differences and examine their properties, such as continuity and log-convexity. By proving the related Galvani's theorem and mean-value theorems of the Lagrange and Cauchy type we establish a new class of two-parameter Cauchy-type means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
082-0000000-0893 - Krivulje i plohe u euklidskom i neeuklidskim prostorima
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Građevinski fakultet, 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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
