Властивості множини неповних сум одного ряду, члени якого утворюють узагальнену послідовність Фібоначчі
In this paper we study properties of one positive series,whose terms are elements of generalized Fibonacci sequence satisfyingcondition $u_{n+2}=\frac{u_{n+1}}{4}+\frac{u_n}{8}$. We prove that theset of incomplete sums of this series is a nowhere dense set ofpositive Lebesgue measure.
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| Date: | 2019 |
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| Author Affiliations: |
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| Keywords: | keywords |
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2019
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/478 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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