On a ratio monotonicity conjecture of a new kind of numbers

It is known that the concept of ratio monotonicity is closely related to log-convexity and log-concavity. In this paper, by exploring the log-behavior properties of a new combinatorial sequence defined by Z.-W. Sun, we completely solve a conjecture on ratio monotonicity by him.

Detalles Bibliográficos
Autor principal: Sun, Brian Yi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5784024/
https://www.ncbi.nlm.nih.gov/pubmed/29398878
http://dx.doi.org/10.1186/s13660-018-1614-1
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author Sun, Brian Yi
author_facet Sun, Brian Yi
author_sort Sun, Brian Yi
collection PubMed
description It is known that the concept of ratio monotonicity is closely related to log-convexity and log-concavity. In this paper, by exploring the log-behavior properties of a new combinatorial sequence defined by Z.-W. Sun, we completely solve a conjecture on ratio monotonicity by him.
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spelling pubmed-57840242018-02-01 On a ratio monotonicity conjecture of a new kind of numbers Sun, Brian Yi J Inequal Appl Research It is known that the concept of ratio monotonicity is closely related to log-convexity and log-concavity. In this paper, by exploring the log-behavior properties of a new combinatorial sequence defined by Z.-W. Sun, we completely solve a conjecture on ratio monotonicity by him. Springer International Publishing 2018-01-25 2018 /pmc/articles/PMC5784024/ /pubmed/29398878 http://dx.doi.org/10.1186/s13660-018-1614-1 Text en © The Author(s) 2018 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
Sun, Brian Yi
On a ratio monotonicity conjecture of a new kind of numbers
title On a ratio monotonicity conjecture of a new kind of numbers
title_full On a ratio monotonicity conjecture of a new kind of numbers
title_fullStr On a ratio monotonicity conjecture of a new kind of numbers
title_full_unstemmed On a ratio monotonicity conjecture of a new kind of numbers
title_short On a ratio monotonicity conjecture of a new kind of numbers
title_sort on a ratio monotonicity conjecture of a new kind of numbers
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5784024/
https://www.ncbi.nlm.nih.gov/pubmed/29398878
http://dx.doi.org/10.1186/s13660-018-1614-1
work_keys_str_mv AT sunbrianyi onaratiomonotonicityconjectureofanewkindofnumbers

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