Continuous nowhere monotonic function, defined in terms of non-ternary and chain A2-fractions
We study properties of continuous nowhere monotonicity function on [0; 1], which is defined in terms of nega-3-adic and $A_2$ -representation of real numbers. We proved a correctness of its definition, continuity and monotony, and described some properties of its graph and sets of levels.
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| Date: | 2020 |
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| Main Authors: | , , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Інститут математики НАН України
2020
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/438 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |  |