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On generalized bounded variation functions on Vilenkin groups and applications

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Abstract In the present paper, we introduce certain classes of functions of weighted bounded oscillation on bounded Vilenkin groups. For such classes, we employ the summability methods of the theory of double Vilenkin–Fourier series.
Title: On generalized bounded variation functions on Vilenkin groups and applications
Description:
Abstract In the present paper, we introduce certain classes of functions of weighted bounded oscillation on bounded Vilenkin groups.
For such classes, we employ the summability methods of the theory of double Vilenkin–Fourier series.

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