Pregled bibliografske jedinice broj: 1212120
Some generalizations of the Jensen-type inequalities with applications
Some generalizations of the Jensen-type inequalities with applications // Book of Abstracts / 11th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2022)
Istanbul, Turska, 2022. str. 69-69 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1212120 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some generalizations of the Jensen-type inequalities with applications
Autori
Rodić, Mirna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of Abstracts / 11th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2022)
/ - , 2022, 69-69
Skup
11th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA 2022)
Mjesto i datum
Istanbul, Turska, 29.08.2022. - 01.09.2022
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Jensen's inequality ; converse Jensen's inequality ; Green function ; means ; exponential convexity
Sažetak
Motivated by some results about reverses of the Jensen inequality for positive measure, in this talk we give generalizations of those results for real Stieltjes measure d\lambda which is not necessarily positive using several Green functions. Utilizing these results we define some new mean value theorems of Lagrange and Cauchy type, and derive some new Cauchy-type means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
