Summability of Fourier series with the method of lacunary arithmetical means at the Lebesgue points
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- by E. S. Belinsky PDF
- Proc. Amer. Math. Soc. 125 (1997), 3689-3693 Request permission
Abstract:
The existence of the ‘rare’ sequence of partial sums summable with the method of arithmetical means at each Lebesgue point is proved in the paper. The proof is based on the strategy of random choice.References
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Additional Information
- E. S. Belinsky
- Affiliation: Department of Mathematics, University of Zimbabwe, PO Box MP 167, Mount Pleasant, Harare, Zimbabwe
- Email: belinsky@maths.uz.zw
- Received by editor(s): July 30, 1996
- Communicated by: Christopher D. Sogge
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3689-3693
- MSC (1991): Primary 42A16, 42A24
- DOI: https://doi.org/10.1090/S0002-9939-97-04153-1
- MathSciNet review: 1425111