Skew log-concavity of the Boros-Moll sequences

Abstract Let { T ( n , k ) } 0 ≤ n < ∞ , 0 ≤ k ≤ n $\{T(n,k)\}_{0\leq n < \infty, 0\leq k \leq n} $ be a triangular array of numbers. We say that T ( n , k ) $T(n,k)$ is skew log-concave if for any fixed n, the sequence { T ( n + k , k ) } 0 ≤ k < ∞ $\{T(n+k,k)\}_{0 \leq k <\infty}$ is l...

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Main Author:	Eric H Liu
Format:	Article
Language:	English
Published:	SpringerOpen 2017-05-01
Series:	Journal of Inequalities and Applications
Subjects:	log-concavity skew log-concavity the Boros-Moll sequence
Online Access:	http://link.springer.com/article/10.1186/s13660-017-1394-z

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spelling	doaj-f338b9c16311412ab1453f41ffea788c2020-11-24T21:57:44ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-05-01201711510.1186/s13660-017-1394-zSkew log-concavity of the Boros-Moll sequencesEric H Liu0School of Business Information, Shanghai University of International Business and EconomicsAbstract Let { T ( n , k ) } 0 ≤ n < ∞ , 0 ≤ k ≤ n $\{T(n,k)\}_{0\leq n < \infty, 0\leq k \leq n} $ be a triangular array of numbers. We say that T ( n , k ) $T(n,k)$ is skew log-concave if for any fixed n, the sequence { T ( n + k , k ) } 0 ≤ k < ∞ $\{T(n+k,k)\}_{0 \leq k <\infty}$ is log-concave. In this paper, we show that the Boros-Moll sequences are almost skew log-concave.http://link.springer.com/article/10.1186/s13660-017-1394-zlog-concavityskew log-concavitythe Boros-Moll sequence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Eric H Liu
spellingShingle	Eric H Liu Skew log-concavity of the Boros-Moll sequences Journal of Inequalities and Applications log-concavity skew log-concavity the Boros-Moll sequence
author_facet	Eric H Liu
author_sort	Eric H Liu
title	Skew log-concavity of the Boros-Moll sequences
title_short	Skew log-concavity of the Boros-Moll sequences
title_full	Skew log-concavity of the Boros-Moll sequences
title_fullStr	Skew log-concavity of the Boros-Moll sequences
title_full_unstemmed	Skew log-concavity of the Boros-Moll sequences
title_sort	skew log-concavity of the boros-moll sequences
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2017-05-01
description	Abstract Let { T ( n , k ) } 0 ≤ n < ∞ , 0 ≤ k ≤ n $\{T(n,k)\}_{0\leq n < \infty, 0\leq k \leq n} $ be a triangular array of numbers. We say that T ( n , k ) $T(n,k)$ is skew log-concave if for any fixed n, the sequence { T ( n + k , k ) } 0 ≤ k < ∞ $\{T(n+k,k)\}_{0 \leq k <\infty}$ is log-concave. In this paper, we show that the Boros-Moll sequences are almost skew log-concave.
topic	log-concavity skew log-concavity the Boros-Moll sequence
url	http://link.springer.com/article/10.1186/s13660-017-1394-z
work_keys_str_mv	AT erichliu skewlogconcavityoftheborosmollsequences
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Skew log-concavity of the Boros-Moll sequences

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