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Integral part problems derived from a solution of an in mum problem
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2018-06-01
https://doi.org/10.5485/TMCS.2018.0442
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Copyright (c) 2018 Paweł Pasteczka and Árpád Száz
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Pasteczka, P., & Száz, Árpád. (2018). Integral part problems derived from a solution of an in mum problem. Teaching Mathematics and Computer Science, 16(1), 43-53. https://doi.org/10.5485/TMCS.2018.0442
Abstract
In this paper, we solve the following two integral part problems:
Find all r ϵ R satisfying r^2 = [r]*([r]+1), resp. r^2≤[r]*([r]+1).
These problems have been mainly motivated by a solution of an infimum problem of Z. Boros and Á. Száz.
Find all r ϵ R satisfying r^2 = [r]*([r]+1), resp. r^2≤[r]*([r]+1).
These problems have been mainly motivated by a solution of an infimum problem of Z. Boros and Á. Száz.