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Gauss-Steffensen's means (CROSBI ID 158262)
Prilog u časopisu | izvorni znanstveni rad
Krulić, Kristina ; Pečarić, Josip ; Smoljak, Ksenija
Gauss-Steffensen's means // Mathematica balkanica, 24 (2010), 1-2; 177-190
Podaci o odgovornosti
Krulić, Kristina ; Pečarić, Josip ; Smoljak, Ksenija
engleski
Gauss-Steffensen's means
In this paper we define a functional as a difference between the left-hand side and the right-hand side of the Gauss-Steffensen inequality and study its properties, such as exponential and logarithmic convexity. Furthermore, using this functional, new Gauss-Steffensen's means are generated and their monotonicity property is proven.
Steffensen inequality; Gauss inequality; monotone function; means
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