On the classes of functions of bounded partial and total $\Lambda$-variation

Authors

  • A. N. Bakhvalov Department of Mechanics and Mathematics, Moscow Lomonosov State University, Moscow, 119991, Russia Author

Keywords:

Generalized variation, multiple Fourier series

Subjects:

42B05, 26B30

Abstract

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.

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Published

2018-07-15

Issue

Vol. 70 No. 3 (2018): Vol. 70, Issue 3

Section

Articles

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Copyright (c) 2018 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.