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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 10, Pages 83–88
(Mi ivm9293)
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Functions of the Lipschitz class and summability of Fourier series
V. Sh. Tsagareishvili Tbilisi State University,
1 I. Chavchavadze Ave., Tbilisi 0128, Republic of Georgia
Abstract:
In this paper we investigate summability of the general orthonormal systems (GOS) of the functions $f(x)\in \mathrm{Lip}~1$.
Keywords:
general Fourier series, summability, Lebesgue function, Fourier coefficients.
Received: 10.06.2016
Citation:
V. Sh. Tsagareishvili, “Functions of the Lipschitz class and summability of Fourier series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 10, 83–88; Russian Math. (Iz. VUZ), 61:10 (2017), 72–76
Linking options:
https://www.mathnet.ru/eng/ivm9293 https://www.mathnet.ru/eng/ivm/y2017/i10/p83
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Abstract page: | 151 | Full-text PDF : | 34 | References: | 30 | First page: | 9 |
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