Geodesic
Asymptotic properties of coefficients of orthorecursive expansions over indicators of dyadic intervals
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 3-10
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Asymptotic properties of the coefficients of orthorecursive expansion over a system of indicators of dyadic intervals associated with local properties of the expanded function are studied. Asymptotic formulas are obtained in the cases of differentiable functions and functions having a discontinuity of the first kind at the point under study. 
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I. S. Baranova. Asymptotic properties of coefficients of orthorecursive expansions over indicators of dyadic intervals. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 3-10. http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a0/

[1] Lukashenko T.P., “Ob ortorekursivnikh razlozheniyakh po sisteme Fabera–Shaudera”, Sovremennye problemy teorii funktsii i ikh prilozheniya, Tez. dokl. 10-i Saratovskoi zimnei shkoly, Izd-vo Saratov. un-ta, Saratov, 2000, 83

[2] Lukashenko T.P., “O svoistvakh ortorekursivnykh razlozhenii po neortogonalnym sistemam”, Vestn. Mosk. un-ta. Matem. Mekhan., 2001, no. 1, 6–10 | Zbl

[3] Galatenko V.V., “Ob ortorekursivnom razlozhenii s oshibkami v vychislenii koeffitsientov”, Izv. RAN. Ser. matem., 69:1 (2005), 3–16 | DOI | MR | Zbl

[4] Galatenko V.V., “Ob ortorekursivnom razlozhenii po nekotoroi sisteme funktsii s oshibkami pri vychislenii koeffitsientov”, Matem. sb., 195:7 (2004), 21–36 | DOI | MR | Zbl

[5] Kudryavtsev A.Yu., “O skhodimosti ortorekursivnykh razlozhenii po neortogonalnym vspleskam”, Matem. zametki, 92:5 (2012), 707–720 | DOI | MR | Zbl

[6] Kudryavtsev A.Yu., “O skorosti skhodimosti ortorekursivnykh razlozhenii po neortogonalnym vspleskam”, Izv. RAN. Ser. matem., 76:4 (2012), 49–64 | DOI | MR | Zbl

[7] Politov A.V., “Ortorekursivnye razlozheniya v gilbertovykh prostranstvakh”, Vestn. Mosk. un-ta. Matem. Mekhan., 2010, no. 3, 3–7 | MR | Zbl

[8] Politov A.V., “Kriterii skhodimosti ortorekursivnykh razlozhenii v evklidovykh prostranstvakh”, Matem. zametki, 93:4 (2013), 637–640 | DOI | MR | Zbl