Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi !

Inequalities related to the Jensen inequality for strongly convex functions (CROSBI ID 664189)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Klaričić Bakula, Milica ; Nikodem, Kazimierz Inequalities related to the Jensen inequality for strongly convex functions // Mathematical Inequalities and Applications 2018 / Aglić Aljinović, Andrea ; Elezović, Neven ; Rodić, Mirna (ur.). Zagreb: Element, 2018. str. 43-43

Podaci o odgovornosti

Klaričić Bakula, Milica ; Nikodem, Kazimierz

engleski

Inequalities related to the Jensen inequality for strongly convex functions

A function f:I→R is called strongly convex with modulus c>0 if f(tx+(1-t)y)≤tf(x)+(1-t)f(y)-ct(1-t)(x-y)², for all x, y∈I and t∈[0, 1] (B. T. Polyak, 1966). Strongly convex functions are largely investigated in the literature since they are very useful in optimization theory, mathematical economics and approximation theory. Here we present several inequalities for strongly convex functions closely related to the Jensen inequality, such as the converse Jensen inequality and the Jensen-Steffensen inequality. We also consider those inequalities for set-valued strongly convex functions.

Strongly convex functions, Jensen inequality, Jensen-Steffensen inequality

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o prilogu

43-43.

2018.

objavljeno

Podaci o matičnoj publikaciji

Mathematical Inequalities and Applications 2018

Aglić Aljinović, Andrea ; Elezović, Neven ; Rodić, Mirna

Zagreb: Element

Podaci o skupu

Mathematical Inequalities and Applications, 2018.

predavanje

04.07.2018-08.07.2018

Zagreb, Hrvatska

Povezanost rada

Matematika