Monotonicity and inequalities related to complete elliptic integrals of the second kind
In the paper, the authors present some monotonicity properties of certain functions defined in terms of the complete elliptic integrals of the second kind and some elementary functions and, consequently, improve several known inequalities for the complete elliptic integrals of the second kind.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020176/fulltext.html |
| _version_ | 1828485898575020032 |
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| author | Fei Wang Bai-Ni Guo Feng Qi |
| author_facet | Fei Wang Bai-Ni Guo Feng Qi |
| author_sort | Fei Wang |
| collection | DOAJ |
| description | In the paper, the authors present some monotonicity properties of certain functions defined in terms of the complete elliptic integrals of the second kind and some elementary functions and, consequently, improve several known inequalities for the complete elliptic integrals of the second kind. |
| first_indexed | 2024-12-11T09:22:18Z |
| format | Article |
| id | doaj.art-1703cbbce01c4c87881ab5b2b98fc7ca |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-11T09:22:18Z |
| publishDate | 2020-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-1703cbbce01c4c87881ab5b2b98fc7ca2022-12-22T01:13:13ZengAIMS PressAIMS Mathematics2473-69882020-03-01532732274210.3934/math.2020176Monotonicity and inequalities related to complete elliptic integrals of the second kindFei Wang0 Bai-Ni Guo1Feng Qi21 Department of Mathematics, Zhejiang Institute of Mechanical and Electrical Engineering, Hangzhou 310053, Zhejiang, China2 School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China3 School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, ChinaIn the paper, the authors present some monotonicity properties of certain functions defined in terms of the complete elliptic integrals of the second kind and some elementary functions and, consequently, improve several known inequalities for the complete elliptic integrals of the second kind.https://www.aimspress.com/article/10.3934/math.2020176/fulltext.htmlmonotonicityinequalitycomplete elliptic integral of the second kind |
| spellingShingle | Fei Wang Bai-Ni Guo Feng Qi Monotonicity and inequalities related to complete elliptic integrals of the second kind AIMS Mathematics monotonicity inequality complete elliptic integral of the second kind |
| title | Monotonicity and inequalities related to complete elliptic integrals of the second kind |
| title_full | Monotonicity and inequalities related to complete elliptic integrals of the second kind |
| title_fullStr | Monotonicity and inequalities related to complete elliptic integrals of the second kind |
| title_full_unstemmed | Monotonicity and inequalities related to complete elliptic integrals of the second kind |
| title_short | Monotonicity and inequalities related to complete elliptic integrals of the second kind |
| title_sort | monotonicity and inequalities related to complete elliptic integrals of the second kind |
| topic | monotonicity inequality complete elliptic integral of the second kind |
| url | https://www.aimspress.com/article/10.3934/math.2020176/fulltext.html |
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