Geometrical Inequalities in Acute Triangle Involving the Medians VI
The purpose of this paper is to demonstrate a new open question that generalizes previous open questions formulated by researchers in the field of geometrical inequalities. In this sense we have proved that in every acute triangle ABC from a < b < c does not result a −2n−1 + m−2n−1 a < b...
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| Format: | Article |
| Language: | English |
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Editura Universităţii "Petru Maior"
2015-06-01
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| Series: | Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș |
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| Online Access: | http://scientificbulletin.upm.ro/papers/2015-1/10%20Geometrical%20inequalities%20Bela%20Finta.pdf |
| _version_ | 1818207639013687296 |
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| author | Béla Finta |
| author_facet | Béla Finta |
| author_sort | Béla Finta |
| collection | DOAJ |
| description | The purpose of this paper is to demonstrate a new open question that generalizes previous open questions formulated by researchers in the field of geometrical inequalities.
In this sense we have proved that in every acute triangle ABC from a < b < c does not result a
−2n−1 + m−2n−1
a < b−2n−1 + m−2n−1
b < c−2n−1 + m−2n−1
c, where n ∈ N.
For the demonstration we have deduced two theorems that allowed the formulation of the main conclusion. |
| first_indexed | 2024-12-12T04:32:07Z |
| format | Article |
| id | doaj.art-f5beaaeaa90d4445a1f40668f4838108 |
| institution | Directory Open Access Journal |
| issn | 1841-9267 2285-438X |
| language | English |
| last_indexed | 2024-12-12T04:32:07Z |
| publishDate | 2015-06-01 |
| publisher | Editura Universităţii "Petru Maior" |
| record_format | Article |
| series | Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș |
| spelling | doaj.art-f5beaaeaa90d4445a1f40668f48381082022-12-22T00:38:04ZengEditura Universităţii "Petru Maior"Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș1841-92672285-438X2015-06-011216062Geometrical Inequalities in Acute Triangle Involving the Medians VIBéla Finta0"Petru Maior" University of Tîrgu Mureş, RomâniaThe purpose of this paper is to demonstrate a new open question that generalizes previous open questions formulated by researchers in the field of geometrical inequalities. In this sense we have proved that in every acute triangle ABC from a < b < c does not result a −2n−1 + m−2n−1 a < b−2n−1 + m−2n−1 b < c−2n−1 + m−2n−1 c, where n ∈ N. For the demonstration we have deduced two theorems that allowed the formulation of the main conclusion.http://scientificbulletin.upm.ro/papers/2015-1/10%20Geometrical%20inequalities%20Bela%20Finta.pdfgeometrical inequalities |
| spellingShingle | Béla Finta Geometrical Inequalities in Acute Triangle Involving the Medians VI Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș geometrical inequalities |
| title | Geometrical Inequalities in Acute Triangle Involving the Medians VI |
| title_full | Geometrical Inequalities in Acute Triangle Involving the Medians VI |
| title_fullStr | Geometrical Inequalities in Acute Triangle Involving the Medians VI |
| title_full_unstemmed | Geometrical Inequalities in Acute Triangle Involving the Medians VI |
| title_short | Geometrical Inequalities in Acute Triangle Involving the Medians VI |
| title_sort | geometrical inequalities in acute triangle involving the medians vi |
| topic | geometrical inequalities |
| url | http://scientificbulletin.upm.ro/papers/2015-1/10%20Geometrical%20inequalities%20Bela%20Finta.pdf |
| work_keys_str_mv | AT belafinta geometricalinequalitiesinacutetriangleinvolvingthemediansvi |