New approximation inequalities for circular functions

In this paper, we obtain some improved exponential approximation inequalities for the functions [Formula: see text] and [Formula: see text] , and we prove them by using the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power series.

Detalles Bibliográficos
Autores principales: Zhu, Ling, Nenezić, Marija
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244724/
https://www.ncbi.nlm.nih.gov/pubmed/30839836
http://dx.doi.org/10.1186/s13660-018-1910-9
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author Zhu, Ling
Nenezić, Marija
author_facet Zhu, Ling
Nenezić, Marija
author_sort Zhu, Ling
collection PubMed
description In this paper, we obtain some improved exponential approximation inequalities for the functions [Formula: see text] and [Formula: see text] , and we prove them by using the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power series.
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spelling pubmed-62447242018-12-04 New approximation inequalities for circular functions Zhu, Ling Nenezić, Marija J Inequal Appl Research In this paper, we obtain some improved exponential approximation inequalities for the functions [Formula: see text] and [Formula: see text] , and we prove them by using the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power series. Springer International Publishing 2018-11-16 2018 /pmc/articles/PMC6244724/ /pubmed/30839836 http://dx.doi.org/10.1186/s13660-018-1910-9 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
Zhu, Ling
Nenezić, Marija
New approximation inequalities for circular functions
title New approximation inequalities for circular functions
title_full New approximation inequalities for circular functions
title_fullStr New approximation inequalities for circular functions
title_full_unstemmed New approximation inequalities for circular functions
title_short New approximation inequalities for circular functions
title_sort new approximation inequalities for circular functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244724/
https://www.ncbi.nlm.nih.gov/pubmed/30839836
http://dx.doi.org/10.1186/s13660-018-1910-9
work_keys_str_mv AT zhuling newapproximationinequalitiesforcircularfunctions
AT nenezicmarija newapproximationinequalitiesforcircularfunctions

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