Improved estimates for the triangle inequality

We obtain refined estimates of the triangle inequality in a normed space using integrals and the Tapia semi-product. The particular case of an inner product space is discussed in more detail.

Detalles Bibliográficos
Autores principales: Minculete, Nicuşor, Păltănea, Radu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5236088/
https://www.ncbi.nlm.nih.gov/pubmed/28133427
http://dx.doi.org/10.1186/s13660-016-1281-z
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author Minculete, Nicuşor
Păltănea, Radu
author_facet Minculete, Nicuşor
Păltănea, Radu
author_sort Minculete, Nicuşor
collection PubMed
description We obtain refined estimates of the triangle inequality in a normed space using integrals and the Tapia semi-product. The particular case of an inner product space is discussed in more detail.
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spelling pubmed-52360882017-01-25 Improved estimates for the triangle inequality Minculete, Nicuşor Păltănea, Radu J Inequal Appl Research We obtain refined estimates of the triangle inequality in a normed space using integrals and the Tapia semi-product. The particular case of an inner product space is discussed in more detail. Springer International Publishing 2017-01-13 2017 /pmc/articles/PMC5236088/ /pubmed/28133427 http://dx.doi.org/10.1186/s13660-016-1281-z Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Minculete, Nicuşor
Păltănea, Radu
Improved estimates for the triangle inequality
title Improved estimates for the triangle inequality
title_full Improved estimates for the triangle inequality
title_fullStr Improved estimates for the triangle inequality
title_full_unstemmed Improved estimates for the triangle inequality
title_short Improved estimates for the triangle inequality
title_sort improved estimates for the triangle inequality
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5236088/
https://www.ncbi.nlm.nih.gov/pubmed/28133427
http://dx.doi.org/10.1186/s13660-016-1281-z
work_keys_str_mv AT minculetenicusor improvedestimatesforthetriangleinequality
AT paltanearadu improvedestimatesforthetriangleinequality

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