Нули полиномов по системе типа Хаара

13 / 13

Е.А. Власова
16 ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2017. № 3
[13] Vlasova E.A. A certain class of orthogonal convergence systems. Mathematical Notes of the
Academy of Sciences of the USSR, 1988, vol. 43, iss. 6, pp. 421–428. DOI: 10.1007/BF01158511
Available at:
[14] Vlasova E.A. Convergence of series with respect to generalized Haar systems. Anal. math.,
1987, vol. 13, no. 4, pp. 339–360.
[15] Vlasova E.A. Series in systems of Haar type. Izvestiya VUZ. Matematika [Soviet Mathema-
tics], 1990, vol. 34, no. 9, pp. 1–13 (in Russ.).
Available at:
[16] Akishev G.A. On degrees of approximation of some classes by polynomials with respect to
generalized Haar system. Sib. elektron. matem. izv. [Siberian Electronic Mathematical Reports],
2006, no. 3, pp. 92–105 (in Russ.).
Available at:
[17] Akishev G.A. Absolute convergence of Fourier series of superpositions of functions.
Russian Mathematics, 2009, vol. 53, no. 1. DOI: 10.3103/S1066369X09110012 Available at:
[18] Volosivets S.S., Fadeev R.N. Vesovaya integriruemost' summ ryadov po mul'tiplikativnym
sistemam. Izvestiya Saratovskogo universiteta. Novaya seriya. Seriya Matematika. Mekhanika. In-
formatika [Izvestiya of Saratov University. New Series. Series Mathematics. Mechanics. Informa-
tics], 2014, vol. 14, no. 2, pp. 129–136 (in Russ.).
[19] Shcherbakov V.I. Dini — Lipschitz criterion on generalized Haar. Mater. 17-y mezhdunarod.
Saratovskoy zimney shk., posv. 150-letiyu so dnya rozhdeniya V.A. Steklova [Proc. 17th Int. winter
workshop dedicated to the 150th anniversary of birth of V.A. Steklov]. Saratov, SGU Publ., 2014,
pp. 307–308 (in Russ.).
[20] Shcherbakov V.I. On Jordan criterion or its transformation in generalized Haar systems.
Mater. 12-y mezhdunarod. Kazanskoy letney nauchnoy shkoly-konferentsii. T. 51 [Proc. 12th Int.
Kazan’ summer school-conf. Vol. 51]. Kazan', Kazan' Mathematical Society Publ., Tatarstan
Academy of Sciences Publ., 2015, pp. 493–496 (in Russ.).
[21] Shcherbakov V.I. Features of the pointwise Dini convergence criterion of Fourier series on
Vilenkin systems and generalized Haar system on zero-dimensional groups. Mater. 18-y mezhdu-
narod. Saratovskoy zimney shk. [Proc. 18th Int. Saratov winter workshop]. Saratov, Nauchnaya
kniga Publ., 2016, pp. 341–345 (in Russ.).
[22] Shcherbakov V.I. Divergence of the Fourier series by generalized Haar systems at points of
continuity of a function. Russian Mathematics, 2016, vol. 60, no. 1, pp. 42–59.
DOI: 10.3103/S1066369X16010059
Available at:
[23] Ul'yanov P.L. On the uniqueness of series in a Haar system with monotone coefficients.
Vestn. Mosk. un-ta. Ser. 1. Matematika. Mekhanika, 1983, no. 6, pp. 63–73 (in Russ.).
Vlasova E.A. — Cand. Sc. (Phys.-Math.), Assoc. Professor of Applied Mathematics Depart-
ment, Bauman Moscow State Technical University (2-ya Baumanskaya ul. 5, str. 1, Moscow,
105005 Russian Federation).
Please cite this article in English as:
Vlasova E.A. Polinomial Zeros According to the Haar-Type System. Vestn. Mosk. Gos. Tekh.
Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ.,
Nat. Sci.], 2017, no. 3, pp. 4–16. DOI: 10.18698/1812-3368-2017-3-4-16