Pregled bibliografske jedinice broj: 732452
Jensen's and Hermite-Hadamard's inequality
Jensen's and Hermite-Hadamard's inequality // Proceedings of 6th International Scientific and Expert Conference of the International TEAM Society / Ádámné Major, Andrea ; Kovács, Lóránt ; Csaba Johanyák, Zsolt ; Pap-Szigeti, Róbert (ur.).
Kecskemét: Faculty of Mechanical Engineering and Automation, 2014. str. 116-119 (ostalo, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
Jensen's and Hermite-Hadamard's inequality
Autori
Pavić, Zlatko ; Novoselac, Vedran
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of 6th International Scientific and Expert Conference of the International TEAM Society
/ Ádámné Major, Andrea ; Kovács, Lóránt ; Csaba Johanyák, Zsolt ; Pap-Szigeti, Róbert - Kecskemét : Faculty of Mechanical Engineering and Automation, 2014, 116-119
ISBN
978-615-5192-22-7
Skup
Technique, Education, Agriculture and Management
Mjesto i datum
Kecskemét, Mađarska, 10.11.2014. - 11.11.2014
Vrsta sudjelovanja
Ostalo
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
convexity ; affinity ; Jensen's inequality ; Hermite-Hadamard's inequality
Sažetak
In this work, we rely on concepts of mathematical analysis such as the convexity and integral method. A derivation of the discrete form of Jensen's inequality is presented by using geometric properties of convex sets. The integral form of Jensen's inequality is realized by applying the integral method with convex combinations. Hermite-Hadamard's inequality is obtained by combining geometric properties of convex functions and integrals.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Strojarski fakultet, Slavonski Brod
