Abstract
We obtain estimates of the order of growth of rectangular partial sums of double orthogonal series and establish their unimprovability on the set of all double orthogonal systems.
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South-Ukrainian Pedagogical University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10, pp. 1299–1310, October. 1999.
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Andrienko, V.A. On the order of growth of rectangular partial sums of double orthogonal series. Ukr Math J 51, 1461–1475 (1999). https://doi.org/10.1007/BF02981679
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DOI: https://doi.org/10.1007/BF02981679