On Optimal Approximations of the Norm of the Fourier Operator by a Family of Logarithmic Functions
- Авторлар: Shakirov I.1
-
Мекемелер:
- Naberezhnye Chelny State Pedagogical University
- Шығарылым: Том 241, № 3 (2019)
- Беттер: 354-363
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242896
- DOI: https://doi.org/10.1007/s10958-019-04429-0
- ID: 242896
Дәйексөз келтіру
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.
Авторлар туралы
I. Shakirov
Naberezhnye Chelny State Pedagogical University
Хат алмасуға жауапты Автор.
Email: iskander@tatngpi.ru
Ресей, Naberezhnye Chelny