Pregled bibliografske jedinice broj: 724367
Geometric and analytic connections of Jensen's and Hermite-Hadamard's inequality
Geometric and analytic connections of Jensen's and Hermite-Hadamard's inequality // Book of Abstracts 3rd International Eurasian Conference on Mathematical Sciences and Applications, Vienna, Austria / Murat Tosun (ur.).
Beč: TU Wien Academic Press, 2014. str. 136-136 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Geometric and analytic connections of Jensen's and Hermite-Hadamard's inequality
Autori
Pavić, Zlatko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of Abstracts 3rd International Eurasian Conference on Mathematical Sciences and Applications, Vienna, Austria
/ Murat Tosun - Beč : TU Wien Academic Press, 2014, 136-136
Skup
International Eurasian Conference on Mathematical Sciences and Applications
Mjesto i datum
Beč, Austrija, 25.08.2014. - 28.08.2014
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
convex combination; convex function; simplex; Jensen's inequality
Sažetak
The work begins with a geometric approach to the Jensen and Hermite-Hadamard inequality, and ends with analytic proofs of the most important results. In this research, we use convex sets of the Euclidean space, especially simplexes and hyperplanes, as well as convex functions of several variables. We point out the application of integral method that includes convex combinations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
