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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1972 Volume 12, Issue 1, Pages 19–28 (Mi mzm9842)

This article is cited in 20 papers

Determination of the jump of a function of bounded $p$-variation by its Fourier series

B. I. Golubov

Moscow Physicotechnical Institute

Abstract: A formula is obtained for the jump of a function of bounded $p$-variation at a given point in terms of derivatives of partial sums of its Fourier series.

UDC: 517.5

Received: 22.09.1971


 English version:
Mathematical Notes, 1972, 12:1, 444–449

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© Steklov Math. Inst. of RAS, 2025