Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions
This article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function. The main tools in this study are the coefficient inequalities for the class P of functions with positive real parts. Also, the investigation...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2871511 |
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| _version_ | 1832553658466697216 |
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| author | Farah Zulfiqar Sarfraz Nawaz Malik Mohsan Raza Md. Shajib Ali |
| author_facet | Farah Zulfiqar Sarfraz Nawaz Malik Mohsan Raza Md. Shajib Ali |
| author_sort | Farah Zulfiqar |
| collection | DOAJ |
| description | This article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function. The main tools in this study are the coefficient inequalities for the class P of functions with positive real parts. Also, the investigation of the upper bound of the fourth-order Hankel determinant for 3-fold symmetric convex functions associated with the sine function is included. |
| format | Article |
| id | doaj-art-0a2bf19811bb4597ac3bb8a65bd5dffc |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0a2bf19811bb4597ac3bb8a65bd5dffc2025-02-03T05:53:33ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2871511Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine FunctionsFarah Zulfiqar0Sarfraz Nawaz Malik1Mohsan Raza2Md. Shajib Ali3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis article deals with the upper bound of fourth-order Hankel and Toeplitz determinants for the convex functions which are defined by using the sine function. The main tools in this study are the coefficient inequalities for the class P of functions with positive real parts. Also, the investigation of the upper bound of the fourth-order Hankel determinant for 3-fold symmetric convex functions associated with the sine function is included.http://dx.doi.org/10.1155/2022/2871511 |
| spellingShingle | Farah Zulfiqar Sarfraz Nawaz Malik Mohsan Raza Md. Shajib Ali Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions Journal of Mathematics |
| title | Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions |
| title_full | Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions |
| title_fullStr | Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions |
| title_full_unstemmed | Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions |
| title_short | Fourth-Order Hankel Determinants and Toeplitz Determinants for Convex Functions Connected with Sine Functions |
| title_sort | fourth order hankel determinants and toeplitz determinants for convex functions connected with sine functions |
| url | http://dx.doi.org/10.1155/2022/2871511 |
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