Relationships between the best uniform polynomial approximations of functions and their even and odd prolongations
- Authors: Mardvilko Т.S.1
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Affiliations:
- Belarusian State University
- Issue: Vol 229 (2023)
- Pages: 47-52
- Section: Articles
- URL: https://journals.rcsi.science/2782-4438/article/view/261891
- DOI: https://doi.org/10.36535/0233-6723-2023-229-47-52
- ID: 261891
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Abstract
In this paper, we study the relationships between the best uniform polynomial approximations of a continuous function on an interval and its even and odd prolongations. We consider examples that demonstrate the accuracy of the results obtained. Similar issues are also discussed for rational approximations.
About the authors
Т. S. Mardvilko
Belarusian State University
Author for correspondence.
Email: mardvilko@gmail.com
Belarus, Minsk
References
- Ибрагимов И. И. О наилучшем приближении многочленами функций на отрезке Изв. АН СССР. Сер. мат. 1950 14 5 405–412
- Мардвилко Т. С., Пекарский А. А. Применение действительного пространства Харди—Соболева на прямой для исследования скорости равномерных рациональных приближений функций Ж. Белорус. гос. ун-та. Мат. Информ. 2022 16–36
- Тиман А. Ф. Теория приближения функции действительного переменного М. ГИФМЛ 1960
- Bustamante J. Algebraic Approximation: A Guide to Past and Current Solutions Basel AG Springer 2012
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