On Willett's, Godunova-Levin's and Rozanova's Opial-type inequalities with related Stolarsky type means (CROSBI ID 194688)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Andrić, Maja ; Barbir, Ana ; Pečarić, Josip
engleski
On Willett's, Godunova-Levin's and Rozanova's Opial-type inequalities with related Stolarsky type means
In this paper we consider generalizations of Opial's inequality due to Willett, Godunova, Levin and Rozanova. Cauchy type mean value theorems are proved and used in studying Stolarsky type means defined by the obtained inequalities. Also, a method of producing n-exponentially convex and exponentially convex functions is applied.
Willett's inequality; Godunova-Levin's inequality; Rozanova's inequality; Cauchy mean value theorems; exponential convexity; Stolarsky means
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Podaci o izdanju
96 (6)
2014.
841-854
objavljeno
1067-9073
1573-8876