Some extensions from famous theorems for $h$-mid-convex function
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914935930355712 |
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| author | Garejelo, Amir Mirzapour, Farzollah Morassaei, Ali |
| author_facet | Garejelo, Amir Mirzapour, Farzollah Morassaei, Ali |
| contents | In this paper, we prove that every continuous $h$-mid-convex with suitable conditions on $h$ is $h$-convex function. Also, we extend Ostrowski theorem, Blumberg-Sierpinski theorem, Bernstein-Doetsch theorem, Mehdi theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some extensions from famous theorems for $h$-mid-convex function Garejelo, Amir Mirzapour, Farzollah Morassaei, Ali Functional Analysis In this paper, we prove that every continuous $h$-mid-convex with suitable conditions on $h$ is $h$-convex function. Also, we extend Ostrowski theorem, Blumberg-Sierpinski theorem, Bernstein-Doetsch theorem, Mehdi theorem. |
| title | Some extensions from famous theorems for $h$-mid-convex function |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2409.02450 |