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On Zeros of Real Trigonometric Sums

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Abstract

The problem of calculating the number of zeros of a real trigonometric sum of an arbitrary form on a given interval is considered. Upper and lower bounds for this number are obtained by using the argument principle and are illustrated by examples.

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REFERENCES

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Authors and Affiliations

  1. V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, Russia

    M. E. Changa

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  1. M. E. Changa
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Changa, M.E. On Zeros of Real Trigonometric Sums. Mathematical Notes 76, 738–742 (2004). https://doi.org/10.1023/B:MATN.0000049672.86978.7f

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  • DOI: https://doi.org/10.1023/B:MATN.0000049672.86978.7f

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