Equivalent series theorem and obtaining some new summable numerical series using fast expansion polynomials
| Autor: | D. S. Saiko, A. D. Chernyshov, E. N. Kovaleva |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Journal of Physics: Conference Series. 1902:012027 |
| ISSN: | 1742-6596 1742-6588 |
| Popis: | A theorem on equivalent uniformly converging series is proved, which allows one to find a set of new spectra of summable series. The classification of number series into three classes is given. By expanding special polynomials in Fourier series in terms of various fundamental system of functions, it is possible to summarize a wide class of new numerical series that have a convenient classical form of the first class. These polynomials are borrowed from the fast expansions method of the authors of this article. |
| Databáze: | OpenAIRE |
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