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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 10, Pages 83–88 (Mi ivm9293)  
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
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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.
Funding agency Grant number
Shota Rustaveli National Science Foundation FR/102/5-100/14
Received: 10.06.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 10, Pages 72–76
DOI: https://doi.org/10.3103/S1066369X17100103
Bibliographic databases:
Document Type: Article
UDC: 517.521
Language: Russian
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
Citation in format AMSBIB
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\yr 2017
\issue 10
\pages 83--88
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\issue 10
\pages 72--76
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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