MATEMATI‚ČKI VESNIKVol. 70, No. 3, pp. 257–266 (2018)
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MATEMATI‚ČKI VESNIK Vol. 70, No. 3, pp. 257–266 (2018) |
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On the classes of functions of bounded partial and total $\Lambda$-variationA. N. BakhvalovDepartment of Mechanics and Mathematics, Moscow Lomonosov State University, Moscow, 119991, Russia E-mail: an-bakh@yandex.ruAbstract: The inclusions of classes of functions with bounded partial $\Lambda$-variation into the classes of functions with bounded total harmonic variation are established. The result is applied to the problem of convergence of rectangular partial sums for multiple Fourier series. Keywords: Generalized variation; multiple Fourier series. Classification (MSC2000): 42B05; 26B30 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 22 Aug 2023. This page was last modified: 22 Aug 2023.
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