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 Izv. Akad. Nauk SSSR Ser. Mat., 1964, Volume 28, Issue 6, Pages 1209–1236 (Mi izv3051)

Integrability conditions for trigonometrical series and their application to the study of linear summation methods of Fourier series

S. A. Telyakovskii

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Citation: S. A. Telyakovskii, “Integrability conditions for trigonometrical series and their application to the study of linear summation methods of Fourier series”, Izv. Akad. Nauk SSSR Ser. Mat., 28:6 (1964), 1209–1236

Citation in format AMSBIB
\Bibitem{Tel64} \by S.~A.~Telyakovskii \paper Integrability conditions for trigonometrical series and their application to the study of linear summation methods of Fourier series \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1964 \vol 28 \issue 6 \pages 1209--1236 \mathnet{http://mi.mathnet.ru/izv3051} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=172067} \zmath{https://zbmath.org/?q=an:0134.28701} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. G. A. Fomin, “Lebesgue constants of linear methods of summability for Fourier series”, Math. USSR-Izv., 1:5 (1967), 1081–1097
2. R. M. Trigub, “Linear summation methods and the absolute convergence of Fourier series”, Math. USSR-Izv., 2:1 (1968), 21–46
3. B. P. Osilenker, “Linear summability methods for expansions of functions in the classes $L^p_\mu$ $(1\leqslant p\leqslant\infty)$ in orthonormal systems of polynomial type”, Math. USSR-Izv., 2:4 (1968), 709–724
4. S. A. Telyakovskii, “Integrability of trigonometric series. The estimation of the integral modulus of continuity”, Math. USSR-Sb., 20:4 (1973), 557–573
5. N. P. Korneichuk, “S. M. Nikol'skii and the development of research on approximation theory in the USSR”, Russian Math. Surveys, 40:5 (1985), 83–156
6. A. I. Stepanets, “Solution of the Kolmogorov–Nikol'skii problem for the Poisson integrals of continuous functions”, Sb. Math., 192:1 (2001), 113–139
7. I. N. Brui, “Methods of summability of trigonometric series and function spaces”, Sb. Math., 193:4 (2002), 487–506
8. A. S. Belov, “On Conditions of the Average Convergence (Upper Boundedness) of Trigonometric Series”, Journal of Mathematical Sciences, 155:1 (2008), 5–17
9. P. V. Zaderej, E. N. Pelagenko, “Boas–Telyakovskii Conditions for the Integrability of Multiple Trigonometric Series”, Math. Notes, 84:4 (2008), 584–588
10. O. I. Kuznetsova, “On a Multiple Trigonometric Series”, Math. Notes, 88:6 (2010), 902–904
11. R. M. Trigub, “Summability of trigonometric Fourier series at $d$-points and a generalization of the Abel–Poisson method”, Izv. Math., 79:4 (2015), 838–858
12. E. R. Liflyand, “Asymptotics of the Fourier Sine Transform of a Function of Bounded Variation”, Math. Notes, 100:1 (2016), 93–99
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