| Title:
|
Regulární variace: od škálové invariance ke konvergenčním testům (Czech) |
| Title:
|
Regular Variation: From Scale Invariance To Convergence Tests (English) |
| Author:
|
Řehák, Pavel |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
68 |
| Issue:
|
1 |
| Year:
|
2023 |
| Pages:
|
1-28 |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Článek se snaží přiblížit některé aspekty teorie regulární variace. Jde o pojem z klasické analýzy, který má bohatou historii a četné aplikace v teorii pravděpodobnosti, teorii čísel, integrálních transformacích, komplexní analýze, diferenciálních rovnicích, teorii her či teorii grafů. Regulárně měnící se funkce mají souvislost s mnoha matematickými pojmy, včetně škálové invariance, kterou náš výklad začíná, či konvergenčními testy pro nekonečné řady, kterými náš výklad končí. V průběhu výkladu se zastavujeme u některých zásadních momentů vývoje teorie a u vybraných aplikací ve čtyřech z výše jmenovaných oblastí. (Czech) |
| MSC:
|
26A12 |
| idZBL:
|
Zbl 07790641 |
| . |
| Date available:
|
2023-03-31T09:25:58Z |
| Last updated:
|
2024-12-16 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151598 |
| . |
| Reference:
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