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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 68–74
(Mi ivm7305)
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This article is cited in 3 scientific papers (total in 3 papers)
Functional conditions for the convergence of Fourier series with respect to general orthonormal systems
V. Sh. Tsagareishvili Tbilisi State University, Tbilisi, Republic of Georgia
Abstract:
In this paper we establish some functional conditions for the convergence of the Fourier series for functions from the class $C(0,1)$ with respect to general orthonormal systems.
Keywords:
orthonormal system, Fourier series, Fourier coefficients, modulus of continuity.
Received: 10.11.2009
Citation:
V. Sh. Tsagareishvili, “Functional conditions for the convergence of Fourier series with respect to general orthonormal systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 68–74; Russian Math. (Iz. VUZ), 55:5 (2011), 56–62
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https://www.mathnet.ru/eng/ivm7305 https://www.mathnet.ru/eng/ivm/y2011/i5/p68
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Abstract page: | 231 | Full-text PDF : | 66 | References: | 59 | First page: | 10 |
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