Pregled bibliografske jedinice broj: 586836
A new Boas-type inequality for monotone convex functions
A new Boas-type inequality for monotone convex functions // Book of Abstracts, 5th Croatian Mathematical Congress, June 18-21, 2012, Rijeka, Croatia
Rijeka: University of Rijeka, Department of Mathematics, 2012. str. 70-70 (predavanje, međunarodna recenzija, sažetak, ostalo)
CROSBI ID: 586836 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A new Boas-type inequality for monotone convex functions
Autori
Pečarić, Josip ; Pokaz, Dora
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo
Izvornik
Book of Abstracts, 5th Croatian Mathematical Congress, June 18-21, 2012, Rijeka, Croatia
/ - Rijeka : University of Rijeka, Department of Mathematics, 2012, 70-70
ISBN
978-953-7720-13-1
Skup
5th Croatian Mathematical Congress
Mjesto i datum
Rijeka, Hrvatska, 18.06.2012. - 21.06.2012
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Boas inequality; convex function; Borel measure; Hardy-Littlewood average
Sažetak
We state and prove a new Boas-type inequality for monotone convex functions in a context of topological spaces, $sigma$-finite Borel measures and the Hardy-Littlewood average. We manage to constuct this refinement by using the concept of the subdifferential and the assumption of monotonicity of a convex function. With respect to the support of a measure, we give some one-dimensional and multidimensional examples.
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
