Behavior of Gronwall polynomials outside the boundary of summability region
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 166-169 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we continue the study of Gronwall’s polynomials which was started by the author in “The evaluation of convergence rate of the sequence of Gronwall’s polynomials” and continued in other works.
Keywords: methods of summation; Gronwall polynomials; convergence rate.
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L. V. Matveeva. Behavior of Gronwall polynomials outside the boundary of summability region. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 166-169. http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a26/

[1] Matveeva L. V., “Estimates of the rate of convergence of the sequence of polynomials Gronwall”, Research on functional analysis, A collection of scientific works, Ur. gos. un-t, Sverdlovsk, 1978, 49–64 (in Russ.) | MR

[2] Matveeva L. V., “Areas of uniform convergence theorem and Okada”, Science of SUSU, A collection of scientific works, v. 3, Izd-vo YuUrGU, Chelyabinsk, 2011, 149–152 (in Russ.)

[3] T. H. Gronwall, “Summation of series and conformal mapping”, Ann. Math., 33:2 (1932), 101–117 | DOI | MR

[4] C. Birindelli, “Contributo all' analisi dei metodi di sommazione di Gronwall”, Rendic. del Circolo Matemat. de Palermo, 61 (1937), 157–176 | DOI

[5] Matveeva L. V., “Gronwall polynomials with analytic mapping function”, Science of SUSU, A collection of scientific works, v. 2, Izd-vo YuUrGU, Chelyabinsk, 2009, 153–156 (in Russ.)

[6] Matveeva L. V., “Behavior of Gronwall polynomials on the boundary of summability domain”, Vestnik YuUrGU. Seriya “Matematika, mekhanika, fizika”, 34(293):7 (2012), 165–168 (in Russ.)

[7] Matveeva L. V., “Estimates of the rate of convergence of the sequence of polynomials Gronwall, II”, Research on functional analysis: a collection of scientific works, Ur. gos. un-t, Sverdlovsk, 1979, 30–37 (in Russ.)