Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity (CROSBI ID 48210)
Prilog u knjizi | izvorni znanstveni rad
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