Geodesic
On Willett's, Godunova--Levin's, and Rozanova's Opial-Type Inequalities with Related Stolarsky-Type Means
Matematičeskie zametki, Tome 96 (2014) no. 6, pp. 803-819

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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.
Keywords: Willett's inequality, Godunova–Levin's inequality, Rozanova's inequality, Cauchy mean-value theorems, exponential convexity, Stolarsky means. 
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     author = {M. Andric and A. Barbir and J. Pe\v{c}ari\'c},
     title = {On {Willett's,} {Godunova--Levin's,} and {Rozanova's} {Opial-Type} {Inequalities} with {Related} {Stolarsky-Type} {Means}},
     journal = {Matemati\v{c}eskie zametki},
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M. Andric; A. Barbir; J. Pečarić. On Willett's, Godunova--Levin's, and Rozanova's Opial-Type Inequalities with Related Stolarsky-Type Means. Matematičeskie zametki, Tome 96 (2014) no. 6, pp. 803-819. http://geodesic.mathdoc.fr/item/MZM_2014_96_6_a0/