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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2601.06643 |
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| _version_ | 1866914245454594048 |
|---|---|
| author | Ganzburg, Michael I. |
| author_facet | Ganzburg, Michael I. |
| contents | The asymptotic behavior of the Mellin transform of the associated $B$-splines $B_N^*(t) :=t^{-N}B_N(t)$
with special knots in terms of theta-like functions is found. The proof is based on
polynomial interpolation of power functions
and properties of certain theta-like functions.
Pointwise asymptotics of $B_N^*$ and $B_N$
are discussed as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06643 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Asymptotic Properties of Certain $B$-Splines in Terms of Theta-like Functions Ganzburg, Michael I. Classical Analysis and ODEs Primary 41A15, Secondary 44A20, 44A35 The asymptotic behavior of the Mellin transform of the associated $B$-splines $B_N^*(t) :=t^{-N}B_N(t)$ with special knots in terms of theta-like functions is found. The proof is based on polynomial interpolation of power functions and properties of certain theta-like functions. Pointwise asymptotics of $B_N^*$ and $B_N$ are discussed as well. |
| title | On Asymptotic Properties of Certain $B$-Splines in Terms of Theta-like Functions |
| topic | Classical Analysis and ODEs Primary 41A15, Secondary 44A20, 44A35 |
| url | https://arxiv.org/abs/2601.06643 |