论文标题
布什尔·奥克拉斯基的不平等
The Bushell-Okrasiński inequality
论文作者
论文摘要
我们提出了关于丛林河okrasiński不平等，背后的动机，其历史和几种概括的说明。这种不平等最初出现在非线性伏特拉方程的研究中，但很快就引起了自己的兴趣。基本结果已迅速被推广并朝着不同的方向扩展，从而增强了主张，概括了内核和非线性，提供了最佳的预成分，发现其成为平等的条件，并制定了对Lebesgue积分以外的其他有效的变化。我们回顾所有这些方面。
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.
