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Some upper bounds of partial sums of a trigonometric series cannot be sharpened via lower bounds

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References

  1. A. S. Belov,Mat. Sb. [Math. USSR-Sb.],183, No. 11, 55–74 (1992).

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  2. A. Zygmund,Trigonometrical Series, Vol. I, Cambridge University Press, New York (1959).

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  3. A. S. Belov,Trudy Mat. Inst. Steklov [Proc. Steklov Inst. Math.],190, 3–21 (1989).

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Translated fromMatematicheskie Zametki, Vol. 58, No. 3, pp. 447–451, September, 1995.

This work was supported by the International Science Foundation under grant No. MC5300.

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Belov, A.S. Some upper bounds of partial sums of a trigonometric series cannot be sharpened via lower bounds. Math Notes 58, 984–989 (1995). https://doi.org/10.1007/BF02304777

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