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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