About the Optimal Replacement of the Lebesque Constant Fourier Operator by a Logarithmic Function
- Авторы: Shakirov I.1
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Учреждения:
- Naberezhnye Chelny State Pedagogical University
- Выпуск: Том 39, № 6 (2018)
- Страницы: 841-846
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202523
- DOI: https://doi.org/10.1134/S1995080218060185
- ID: 202523
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Аннотация
The Lebesgue constant, corresponding to the classical Fourier operator is approaching a two-parameter family of logarithmic functions. The optimal values of these parameters are found in which the best uniform approximation of the Lebesgue constant a well-defined function of this family is achieved. We considered the case when corresponding to these functions the remaining members are strictly decreasing.
Об авторах
I. Shakirov
Naberezhnye Chelny State Pedagogical University
Автор, ответственный за переписку.
Email: iskander@tatngpi.ru
Россия, ul. Nizametdinova 28, Naberezhniye Chelny, 423806