Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity

Our aim is to provide, using properties of the gamma function and the complete monotonicity of functions, some sharp bounds for the products ∏k=1n‍5k−i/5k, i=1,2,3,4.

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Main Authors: Jenică Crînganu, Alina-Mihaela Patriciu
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/jom/5588106
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author Jenică Crînganu
Alina-Mihaela Patriciu
author_facet Jenică Crînganu
Alina-Mihaela Patriciu
author_sort Jenică Crînganu
collection DOAJ
description Our aim is to provide, using properties of the gamma function and the complete monotonicity of functions, some sharp bounds for the products ∏k=1n‍5k−i/5k, i=1,2,3,4.
format Article
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institution Kabale University
issn 2314-4785
language English
publishDate 2025-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-cc76398e5ebf4bf6a33c04fdcb26bb922025-08-20T03:24:56ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/5588106Strong Bounds for Certain Products Using the Gamma Function and Complete MonotonicityJenică Crînganu0Alina-Mihaela Patriciu1Department of Mathematics and Computer SciencesDepartment of Mathematics and Computer SciencesOur aim is to provide, using properties of the gamma function and the complete monotonicity of functions, some sharp bounds for the products ∏k=1n‍5k−i/5k, i=1,2,3,4.http://dx.doi.org/10.1155/jom/5588106
spellingShingle Jenică Crînganu
Alina-Mihaela Patriciu
Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity
Journal of Mathematics
title Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity
title_full Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity
title_fullStr Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity
title_full_unstemmed Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity
title_short Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity
title_sort strong bounds for certain products using the gamma function and complete monotonicity
url http://dx.doi.org/10.1155/jom/5588106
work_keys_str_mv AT jenicacringanu strongboundsforcertainproductsusingthegammafunctionandcompletemonotonicity
AT alinamihaelapatriciu strongboundsforcertainproductsusingthegammafunctionandcompletemonotonicity