Bellman-Steffensen type inequalities (CROSBI ID 255724)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Jakšetić, Julije ; Pečarić, Josip ; Smoljak Kalamir, Ksenija
engleski
Bellman-Steffensen type inequalities
In this paper some Bellman–Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen’s inequality, nonnormalized versions of Steffensen’s inequality are obtained. Further, linear functionals, from obtained Bellman–Steffensen type inequalities, are produced and their action on families of exponentially convex functions is studied.
Steffensen’s inequality ; Bellman–Steffensen type inequality ; Measure theory ; Exponential convexity
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Podaci o izdanju
2018
2018.
288
15
objavljeno
1029-242X
1029-242X
10.1186/s13660-018-1882-9