On Optimal Approximations of the Norm of the Fourier Operator by a Family of Logarithmic Functions
- 作者: Shakirov I.1
-
隶属关系:
- Naberezhnye Chelny State Pedagogical University
- 期: 卷 241, 编号 3 (2019)
- 页面: 354-363
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242896
- DOI: https://doi.org/10.1007/s10958-019-04429-0
- ID: 242896
如何引用文章
详细
The Lebesgue constant corresponding to the classical Fourier operator is approximated by a family of logarithmic functions depending on two parameters. We find optimal values of parameters for which the best uniform approximation of the Lebesgue constant by a specific function of this family is achieved. The case where the corresponding remainder strictly increases is also considered.
作者简介
I. Shakirov
Naberezhnye Chelny State Pedagogical University
编辑信件的主要联系方式.
Email: iskander@tatngpi.ru
俄罗斯联邦, Naberezhnye Chelny