Cargando…
New bounds for the exponential function with cotangent
In this paper, new bounds for the exponential function with cotangent are found by using the recurrence relation between coefficients in the expansion of power series of the function [Formula: see text] and a new criterion for the monotonicity of the quotient of two power series.
| Autor principal: | |
|---|---|
| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer International Publishing
2018
|
| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5940775/ https://www.ncbi.nlm.nih.gov/pubmed/29769788 http://dx.doi.org/10.1186/s13660-018-1697-8 |
| _version_ | 1783321152986284032 |
|---|---|
| author | Zhu, Ling |
| author_facet | Zhu, Ling |
| author_sort | Zhu, Ling |
| collection | PubMed |
| description | In this paper, new bounds for the exponential function with cotangent are found by using the recurrence relation between coefficients in the expansion of power series of the function [Formula: see text] and a new criterion for the monotonicity of the quotient of two power series. |
| format | Online Article Text |
| id | pubmed-5940775 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2018 |
| publisher | Springer International Publishing |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-59407752018-05-14 New bounds for the exponential function with cotangent Zhu, Ling J Inequal Appl Research In this paper, new bounds for the exponential function with cotangent are found by using the recurrence relation between coefficients in the expansion of power series of the function [Formula: see text] and a new criterion for the monotonicity of the quotient of two power series. Springer International Publishing 2018-05-08 2018 /pmc/articles/PMC5940775/ /pubmed/29769788 http://dx.doi.org/10.1186/s13660-018-1697-8 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 New bounds for the exponential function with cotangent |
| title | New bounds for the exponential function with cotangent |
| title_full | New bounds for the exponential function with cotangent |
| title_fullStr | New bounds for the exponential function with cotangent |
| title_full_unstemmed | New bounds for the exponential function with cotangent |
| title_short | New bounds for the exponential function with cotangent |
| title_sort | new bounds for the exponential function with cotangent |
| topic | Research |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5940775/ https://www.ncbi.nlm.nih.gov/pubmed/29769788 http://dx.doi.org/10.1186/s13660-018-1697-8 |
| work_keys_str_mv | AT zhuling newboundsfortheexponentialfunctionwithcotangent |