论文标题
近似理论的尖锐常数。 iv。一般环境中的渐近关系
Sharp Constants of Approximation Theory. IV. Asymptotic Relations in General Settings
论文作者
论文摘要
在本文中，我们首先介绍了包括近似理论三个主要问题的常数的统一定义，例如，近似元素的不平等，单个元素的近似值以及元素类别的近似值。其次，我们发现足够的条件，这意味着在一般环境中的近似理论的各种尖锐常数之间的关系。第三，近似理论各个领域的许多示例说明了一般方法。
In this paper we first introduce the unified definition of the sharp constant that includes constants in three major problems of approximation theory, such as, inequalities for approximating elements, approximation of individual elements, and approximation on classes of elements. Second, we find sufficient conditions that imply limit relations between various sharp constants of approximation theory in general settings. Third, a number of examples from various areas of approximation theory illustrates the general approach.
