Geodesic
The Bushell-Okrasiński inequality
Mathematica Applicanda, Tome 50 (2022) no. 1, pp. 3-22.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We present an expository account of the Bushell-Okrasiński inequality, the motivation behind it, its history, and several generalizations. This inequality originally appeared in studies of nonlinear Volterra equations but very soon gained interest of its own. The basic result has quickly been generalized and extended in different directions strengthening the assertion, generalizing the kernel and nonlinearity, providing the optimal prefactor, finding conditions under which it becomes an equality, and formulating variations valid for other than Lebesgue integrals. We review all of these aspects.
DOI : 10.14708/ma.v50i1.7130
Classification : 26D15, 45D05
Mots-clés : Bushell-Okrasiński inequality, reversed Jensen inequality, nonlinear Volterra equations 
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Łukasz Płociniczak. The Bushell-Okrasiński inequality. Mathematica Applicanda, Tome 50 (2022) no. 1, pp.  3-22. doi : 10.14708/ma.v50i1.7130. http://geodesic.mathdoc.fr/articles/10.14708/ma.v50i1.7130/

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