Superadditivity of the Levinson functional and applications (CROSBI ID 209337)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
engleski
Superadditivity of the Levinson functional and applications
We study the Levinson functional, constructed as a difference between the right-hand side and the left-hand side of the Levinson inequality. We show that it possesses the properties of superadditivity and monotonicity. As a consequence, we obtain mutual bounds for such functional, expressed via the non-weighted functional of the same type. In such a way, we obtain a refinement and a converse of the Levinson inequality in a difference form.
Levinson inequality; Jensen inequality; Levinson functional; refinement; converse
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