Strengthening of Kolmogorov Type Inequalities for Derivatives and Differences
- 作者: Vinogradov O.1
-
隶属关系:
- St. Petersburg State University
- 期: 卷 242, 编号 1 (2019)
- 页面: 119-132
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242957
- DOI: https://doi.org/10.1007/s10958-019-04469-6
- ID: 242957
如何引用文章
详细
We propose a new method for constructing extremal operators in the problem for obtaining the best approximation of the differentiation operator by bounded operators. Using the new form of extremal operators and their deviations, we strengthen the Kolmogorov inequality by expanding the right-hand side with respect to differences of a function and its higher order derivative with preservation of sharpness.
作者简介
O. Vinogradov
St. Petersburg State University
编辑信件的主要联系方式.
Email: olvin@math.spbu.ru
俄罗斯联邦, 28, Universitetskii pr., St. Petersburg, 198504