Pregled bibliografske jedinice broj: 585106
Stolarsky type means related to generalizations of Steffensen's and Gauss' inequality
Stolarsky type means related to generalizations of Steffensen's and Gauss' inequality // Book of abstracts, 5th Croatian Mathematical Congress, June 18-21, 2012, Rijeka, Croatia / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.).
Rijeka: Fakultet za matematiku Sveučilišta u Rijeci, 2012. str. 65-66 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Stolarsky type means related to generalizations of Steffensen's and Gauss' inequality
Autori
Pečarić, Josip ; Smoljak, Ksenija
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of abstracts, 5th Croatian Mathematical Congress, June 18-21, 2012, Rijeka, Croatia
/ Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja - Rijeka : Fakultet za matematiku Sveučilišta u Rijeci, 2012, 65-66
ISBN
978-953-7720-13-1
Skup
5th Croatian Mathematical Congress, June 18-21, 2012, Rijeka, Croatia
Mjesto i datum
Rijeka, Hrvatska, 18.06.2012. - 21.06.2012
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Steffensen inequality; Gauss inequality; Stolarsky type means; exponential convexity
Sažetak
In this talk functionals defined as the difference between the left-hand and the right-hand side of generalizations of Steffensen’s and Gauss’ inequality are studied. n−exponential and exponential, as well as logarithmic convexity of this functionals is proven. Furthermore, using this functionals, Stolarsky type means for several families of functions are generated and their monotonicity property is proven.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
