On the Study of Trigonometric Polynomials Using Strum Sequence

Saiful R. Mondal; Kottakkaran Sooppy Nisar; Thabet Abdeljawad

doi:10.1155/2020/7068176

On the Study of Trigonometric Polynomials Using Strum Sequence

Saiful R. Mondal
, Kottakkaran Sooppy Nisar
, Thabet Abdeljawad

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This article constructs trigonometric polynomials of the sine and cosine whose sums are nonnegative. As an application, those nonnegative trigonometric sums are used to study the geometric properties of complex polynomials in the unit disk. The Strum sequences are used to prove the main outcome.

Original language	English
Article number	7068176
Journal	Journal of Mathematics
Volume	2020
DOIs	https://doi.org/10.1155/2020/7068176
State	Published - 2020

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title = "On the Study of Trigonometric Polynomials Using Strum Sequence",

abstract = "This article constructs trigonometric polynomials of the sine and cosine whose sums are nonnegative. As an application, those nonnegative trigonometric sums are used to study the geometric properties of complex polynomials in the unit disk. The Strum sequences are used to prove the main outcome.",

author = "Mondal, \{Saiful R.\} and Nisar, \{Kottakkaran Sooppy\} and Thabet Abdeljawad",

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PY - 2020

Y1 - 2020

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AB - This article constructs trigonometric polynomials of the sine and cosine whose sums are nonnegative. As an application, those nonnegative trigonometric sums are used to study the geometric properties of complex polynomials in the unit disk. The Strum sequences are used to prove the main outcome.

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DO - 10.1155/2020/7068176

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SN - 2314-4629

VL - 2020

JO - Journal of Mathematics

JF - Journal of Mathematics

M1 - 7068176

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On the Study of Trigonometric Polynomials Using Strum Sequence

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