Absolute Riesz summability of Fourier series. I
| Autor: | G. D. Dikshit, C. S. Rees |
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| Rok vydání: | 1981 |
| Předmět: | |
| Zdroj: | Proceedings of the American Mathematical Society. 82:231-238 |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/s0002-9939-1981-0609657-1 |
| Popis: | In this paper we prove some theorems on the absolute summability of Fourier series which connect diverse | C , γ | \left | {C,\gamma } \right | results such as Bosanquet’s classical theorem (1936), Mohanty (1952), and Ray (1970) and the recent | R , exp ( ( log ω ) β + 1 ) , γ | \left | {R,\;\exp ({{(\log \omega )}^{\beta + 1}}),\gamma } \right | result of Nayak (1971). It is also shown that in some sense some of the conclusions of the paper are the best possible. |
| Databáze: | OpenAIRE |
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