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Jensen's type integral inequalities on time scales


Barić, Josipa; Bibi, Rabia; Bohner, Martin; Jakšić, Rozarija; Pečarić, Josip
Jensen's type integral inequalities on time scales // 3rd International Eurasian Conference on Mathematical Sciences and Applications, Abstract book / Tosun, Murat (ur.).
Beč, Austrija, 2014. str. 516-516 (poster, međunarodna recenzija, sažetak, znanstveni)


Naslov
Jensen's type integral inequalities on time scales

Autori
Barić, Josipa ; Bibi, Rabia ; Bohner, Martin ; Jakšić, Rozarija ; Pečarić, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
3rd International Eurasian Conference on Mathematical Sciences and Applications, Abstract book / Tosun, Murat - Beč, Austrija, 2014, 516-516

Skup
3rd International Eurasian Conference on Mathematical Sciences and Applications

Mjesto i datum
Beč, Austrija, 25-28.08.2014

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Time scales; superquadratic functions; Jensen's inequality; Hölder's inequality; converse inequality; means.

Sažetak
Some refinements of classical inequalities on time scales are obtained using properties of superquadratic functions and known results for positive linear functionals. New converses of the Jessen inequality, in terms of time scale calculus, are proved. The obtained results are used to derive new converse inequalities for generalized means, power means and Hölder's inequality.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split