On the Study of Trigonometric Polynomials Using Strum Sequence
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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/7068176 |
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| _version_ | 1832563390329913344 |
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| author | Saiful R. Mondal Kottakkaran Sooppy Nisar Thabet Abdeljawad |
| author_facet | Saiful R. Mondal Kottakkaran Sooppy Nisar Thabet Abdeljawad |
| author_sort | Saiful R. Mondal |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e8967aa2a4714393b43ecdbe86bcfc97 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e8967aa2a4714393b43ecdbe86bcfc972025-02-03T01:20:21ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/70681767068176On the Study of Trigonometric Polynomials Using Strum SequenceSaiful R. Mondal0Kottakkaran Sooppy Nisar1Thabet Abdeljawad2Department of Mathematics and Statistics, King Faisal University, Al-Hasa 31982, Saudi ArabiaDepartment of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi ArabiaThis 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.http://dx.doi.org/10.1155/2020/7068176 |
| spellingShingle | Saiful R. Mondal Kottakkaran Sooppy Nisar Thabet Abdeljawad On the Study of Trigonometric Polynomials Using Strum Sequence Journal of Mathematics |
| title | On the Study of Trigonometric Polynomials Using Strum Sequence |
| title_full | On the Study of Trigonometric Polynomials Using Strum Sequence |
| title_fullStr | On the Study of Trigonometric Polynomials Using Strum Sequence |
| title_full_unstemmed | On the Study of Trigonometric Polynomials Using Strum Sequence |
| title_short | On the Study of Trigonometric Polynomials Using Strum Sequence |
| title_sort | on the study of trigonometric polynomials using strum sequence |
| url | http://dx.doi.org/10.1155/2020/7068176 |
| work_keys_str_mv | AT saifulrmondal onthestudyoftrigonometricpolynomialsusingstrumsequence AT kottakkaransooppynisar onthestudyoftrigonometricpolynomialsusingstrumsequence AT thabetabdeljawad onthestudyoftrigonometricpolynomialsusingstrumsequence |