Trigonometric sums by Hermite interpolations

M.A. Annaby and H.A. Hassan

Applied Mathematics and Computation, 2018, vol. 330, issue C, 213-224

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.

Keywords: Hermite interpolation; Trigonometric sums; Asymptotic formulas (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300318301553
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:330:y:2018:i:c:p:213-224

DOI: 10.1016/j.amc.2018.02.045

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().