A generalization of the universality of power lacunary series
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2012), pp. 3-8.

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In this paper we consider the uniform approximation of a function from a certain class by sums obtained as a result of some matrix transformation of the universal power lacunary series.
Keywords: universal, power lacunary series, uniform approximation.
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N. V. Gosteva; L. K. Dodunova. A generalization of the universality of power lacunary series. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2012), pp. 3-8. http://geodesic.mathdoc.fr/item/IVM_2012_3_a0/

[1] Menshov D. E., “Ob universalnykh trigonometricheskikh ryadakh”, DAN SSSR, 49:2 (1945), 79–82

[2] Seleznev A. I., “Ob universalnykh stepennykh ryadakh”, Matem. sb., 28(70):2 (1951), 453–460 | MR | Zbl

[3] Chui C. K., Parnes M. N., “Approximation by overconvergence of a power series”, J. Math. Anal. Appl., 36:3 (1971), 693–696 | DOI | MR | Zbl

[4] Luh W., “Über den Satz von Mergelyan”, J. Approxim. Theory, 16:2 (1976), 194–198 | DOI | MR | Zbl

[5] Leontev A. F., Posledovatelnosti polinomov iz eksponent, Nauka, M., 1980 | MR

[6] Seleznev A. I., Motova I. V., Volokhin V. A., “O polnote sistem funktsii i universalnykh ryadakh”, Izv. vuzov. Matem., 1977, no. 11, 84–90 | MR | Zbl

[7] Seleznev A. I., Dodunova L. K., “K dvum teoremam A. F. Leonteva o polnote podsistem polinomov Fabera i Yakobi”, Izv. vuzov. Matem., 1982, no. 4, 51–55 | MR | Zbl

[8] Dodunova L. K., “Ob odnom obobschenii svoistva universalnosti ryadov po mnogochlenam Fabera”, Izv. vuzov. Matem., 1990, no. 12, 31–34 | MR | Zbl