Bernstein-type inequalities for mean $n$-valent functions
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913534374313984 |
|---|---|
| author | Baranov, Anton Kayumov, Ilgiz Zarouf, Rachid |
| author_facet | Baranov, Anton Kayumov, Ilgiz Zarouf, Rachid |
| contents | We derive new integral estimates of the derivatives of mean $n$-valent functions in the unit disk. Our results develop and complement estimates obtained by E.P. Dolzhenko and A.A. Pekarskii, as well as recent inequalities obtained by the authors. As an application, we improve some inverse theorems of rational approximation due to Dolzhenko. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04308 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bernstein-type inequalities for mean $n$-valent functions Baranov, Anton Kayumov, Ilgiz Zarouf, Rachid Complex Variables Functional Analysis We derive new integral estimates of the derivatives of mean $n$-valent functions in the unit disk. Our results develop and complement estimates obtained by E.P. Dolzhenko and A.A. Pekarskii, as well as recent inequalities obtained by the authors. As an application, we improve some inverse theorems of rational approximation due to Dolzhenko. |
| title | Bernstein-type inequalities for mean $n$-valent functions |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2410.04308 |