Sharp Bohr-Type inequalities for certain classes of close-to-convex functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866913154108227584 |
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| author | Rana, Shalini Jain, Naveen Kumar |
| author_facet | Rana, Shalini Jain, Naveen Kumar |
| contents | In this article, we determine the Rogosinski radii for certain subclasses of close-to-convex functions defined on open unit disc $\mathbb{D}= \{z \in \mathbb{C}: |z| < 1\}$. Furthermore, we establish improved versions of the classical Bohr inequality and the Bohr-Rogosinski inequality pertaining to these subclasses. We demonstrate that all results derived in the study are sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22930 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sharp Bohr-Type inequalities for certain classes of close-to-convex functions Rana, Shalini Jain, Naveen Kumar Complex Variables 30C45, 30C50, 30C80 In this article, we determine the Rogosinski radii for certain subclasses of close-to-convex functions defined on open unit disc $\mathbb{D}= \{z \in \mathbb{C}: |z| < 1\}$. Furthermore, we establish improved versions of the classical Bohr inequality and the Bohr-Rogosinski inequality pertaining to these subclasses. We demonstrate that all results derived in the study are sharp. |
| title | Sharp Bohr-Type inequalities for certain classes of close-to-convex functions |
| topic | Complex Variables 30C45, 30C50, 30C80 |
| url | https://arxiv.org/abs/2605.22930 |