Summary
V rabote izuchayutsya voprosy priblizheniya v p-variatsionnoi metrike i v Lp [0,1] polinomami po sisteme Khaara--Vilenkina s ogranichennoi obrazuyushchei posledovatel’nost’yu. Tak, poluchena dvustoronnyaya otsenka nailuchshego priblizheniya v p-variatsionnoi metrike cherez drobnyi modul’ nepreryvnosti. Krome togo, ustanavlivayutsya priznaki skhodimosti ryadov iz koeffitsientov Fur’e po dannoi sisteme i pokazyvaetsya ikh neuluchshaemost’ .
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Volosivets, S., Skorynskaya, O. O priblizhenii funktsii ogranichennoi p-variatsii polinomami po sistemam Khaara--Vilenkina. Anal Math 31, 195–215 (2005). https://doi.org/10.1007/s10476-005-0014-1
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DOI: https://doi.org/10.1007/s10476-005-0014-1