| Autor: |
Gryszka, Karol, Pasteczka, Paweł |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Period. Math. Hungar. 87 (1), 75-85(2023) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s10998-022-00500-7 |
| Popis: |
For a family of continuous functions $f_1,f_2,\dots \colon I \to \mathbb{R}$ ($I$ is a fixed interval) with $f_1\le f_2\le \dots$ define a set $$ I_f:=\big\{x \in I \colon \lim_{n \to \infty} f_n(x)=+\infty\big\}.$$ We study the properties of the family of all admissible $I_f$-s and the family of all admissible $I_f$-s under the additional assumption $$ \lim_{n \to \infty} \int_x^y f_n(t)\:dt=+\infty \quad \text{ for all }x,y \in I\text{ with }x
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| Databáze: |
arXiv |
| Externí odkaz: |
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