Under study is the integral inequality that has as kernel a nonnegative polynomial in the powers of the difference of arguments and a large parameter N . We establish some inequality whose form agrees with the celebrated Gronwall-Bellman inequality in which the argument of the exponent depends linearly on N .

中文翻译：

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广义 Gronwall-Bellman 不等式

正在研究的是积分不等式，该不等式以参数差的幂的非负多项式和大参数 N 为核。我们建立了一些不等式，其形式与著名的 Gronwall-Bellman 不等式一致，其中指数的参数线性依赖于 N。