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Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity (CROSBI ID 48210)

Prilog u knjizi | izvorni znanstveni rad

Abramovich, Shoshana ; Ivelić, Slavica ; Pečarić ; Josip Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity // Inequalities and Applications 2010 / Bandle, Catherine ; Gilányi, Attila ; Losonczi, László et al. (ur.). Basel: Springer, 2012. str. 191-207

Podaci o odgovornosti

Abramovich, Shoshana ; Ivelić, Slavica ; Pečarić ; Josip

engleski

Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity

This paper is about inequalities satisfied by functions called superterzatic and their relations to convex and to superquadratic functions. In analogy to inequalities satisfied by convex and by superquadratic functions that are reduced to equalities when f(x)=x, f(x)=x^2, x≥0 respectively, the inequalities satisfied by superterzatic functions reduce to equalities when f(x)=x^3, x≥0.

Superquadracity, Weaksuperquadracity, Superterzacity, Convexity, Jensen inequality, Jensen-Steffensen inequality

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Podaci o prilogu

191-207.

objavljeno

Podaci o knjizi

Inequalities and Applications 2010

Bandle, Catherine ; Gilányi, Attila ; Losonczi, László ; Plum, Michael

Basel: Springer

2012.

978-3-0348-0249-9

Povezanost rada

Građevinarstvo, Matematika

Poveznice