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Trigonometric sums by Hermite interpolations

Author

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  • Annaby, M.A.
  • Hassan, H.A.

Abstract

This paper is devoted to the derivation of exact formulas for trigonometric sums at different nodes. These sums are obtained by the use of Hermite interpolations whose nodes are basically zeros of Chebyshev polynomials of the first and second kinds. We prove that some trigonometric sums are integer-valued and we derive some asymptotic formulas.

Suggested Citation

  • Annaby, M.A. & Hassan, H.A., 2018. "Trigonometric sums by Hermite interpolations," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 213-224.
    • Handle: RePEc:eee:apmaco:v:330:y:2018:i:c:p:213-224
    DOI: 10.1016/j.amc.2018.02.045
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    Cited by:

    1. Hu, Yusha & Li, Jigeng & Hong, Mengna & Ren, Jingzheng & Lin, Ruojue & Liu, Yue & Liu, Mengru & Man, Yi, 2019. "Short term electric load forecasting model and its verification for process industrial enterprises based on hybrid GA-PSO-BPNN algorithm—A case study of papermaking process," Energy, Elsevier, vol. 170(C), pages 1215-1227.

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