Behavior of Gronwall polynomials on the boundary of summability domain
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 165-168 Cet article a éte moissonné depuis la source Math-Net.Ru

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Linear summation methods can analytically continue the function outside the region of convergence of the power series. To practice is useful to know the rate of convergence obtained sequence of polynomials Gronwall. In this paper we estimated the rate of convergence on the boundary of the summation.
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L. V. Matveeva. Behavior of Gronwall polynomials on the boundary of summability domain. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 7 (2012), pp. 165-168. http://geodesic.mathdoc.fr/item/VYURM_2012_7_a25/

[1] Matveeva L. V., Issled. po funktsion. analizu, Sb. nauch. tr., Ur. gos. un-t, Sverdlovsk, 1978, 49–64 (in Russ.) | MR

[2] Matveeva L. V., Nauka YuUrGU, Sb. nauch. tr., v. 2, Izdatel'stvo YuUrGU, Cheliabinsk, 2009, 153–156 (in Russ.)

[3] Matveeva L. V., Nauka YuUrGU, Sb. nauch. tr., v. 3, Izdatel'stvo YuUrGU, Cheliabinsk, 2011, 149–152 (in Russ.)

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

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