On Optimal Approximations of the Norm of the Fourier Operator by a Family of Logarithmic Functions
- Авторы: Shakirov I.1
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Учреждения:
- Naberezhnye Chelny State Pedagogical University
- Выпуск: Том 241, № 3 (2019)
- Страницы: 354-363
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242896
- DOI: https://doi.org/10.1007/s10958-019-04429-0
- ID: 242896
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Аннотация
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.
Об авторах
I. Shakirov
Naberezhnye Chelny State Pedagogical University
Автор, ответственный за переписку.
Email: iskander@tatngpi.ru
Россия, Naberezhnye Chelny