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MATEMATIČKI VESNIK
On the classes of functions of bounded partial and total $\Lambda$-variation
A. N. Bakhvalov

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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Keywords: Generalized variation; multiple Fourier series.

MSC: 42B05, 26B30

Pages:  257$-$266     

Volume  70 ,  Issue  3 ,  2018