Approximations of generalized Bernstein functions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909304430264320 |
|---|---|
| author | Koumandos, Stamatis Pedersen, Henrik Laurberg |
| author_facet | Koumandos, Stamatis Pedersen, Henrik Laurberg |
| contents | We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order Thorin-Bernstein functions. Furthermore, new properties of a related function, namely $x^λΓ(x)/Γ(x+λ)$ are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02536 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximations of generalized Bernstein functions Koumandos, Stamatis Pedersen, Henrik Laurberg Classical Analysis and ODEs 44A10 We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order Thorin-Bernstein functions. Furthermore, new properties of a related function, namely $x^λΓ(x)/Γ(x+λ)$ are derived. |
| title | Approximations of generalized Bernstein functions |
| topic | Classical Analysis and ODEs 44A10 |
| url | https://arxiv.org/abs/2409.02536 |