On Optimal Approximations of the Norm of the Fourier Operator by a Family of Logarithmic Functions
- Authors: Shakirov I.A.1
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Affiliations:
- Naberezhnye Chelny State Pedagogical University
- Issue: Vol 241, No 3 (2019)
- Pages: 354-363
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242896
- DOI: https://doi.org/10.1007/s10958-019-04429-0
- ID: 242896
Cite item
Abstract
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.
About the authors
I. A. Shakirov
Naberezhnye Chelny State Pedagogical University
Author for correspondence.
Email: iskander@tatngpi.ru
Russian Federation, Naberezhnye Chelny