Monotonicity properties and bounds for the complete p-elliptic integrals
In the article, we establish some monotonicity properties for certain functions involving the complete <em>p</em>-elliptic integrals of the first and second kinds, and find several sharp bounds for the <em>p</em>-elliptic integrals. Our results are the generalizations and imp...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020453/fulltext.html |
| _version_ | 1818119125111668736 |
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| author | Xi-Fan Huang Miao-Kun Wang Hao Shao Yi-Fan Zhao Yu-Ming Chu |
| author_facet | Xi-Fan Huang Miao-Kun Wang Hao Shao Yi-Fan Zhao Yu-Ming Chu |
| author_sort | Xi-Fan Huang |
| collection | DOAJ |
| description | In the article, we establish some monotonicity properties for certain functions involving the complete <em>p</em>-elliptic integrals of the first and second kinds, and find several sharp bounds for the <em>p</em>-elliptic integrals. Our results are the generalizations and improvements of some previously known results for the classical complete elliptic integrals. |
| first_indexed | 2024-12-11T05:05:13Z |
| format | Article |
| id | doaj.art-c2b1f06be0e148ba9589428ea7532553 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-11T05:05:13Z |
| publishDate | 2020-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c2b1f06be0e148ba9589428ea75325532022-12-22T01:20:03ZengAIMS PressAIMS Mathematics2473-69882020-09-01567071708610.3934/math.2020453Monotonicity properties and bounds for the complete p-elliptic integralsXi-Fan Huang0Miao-Kun Wang1Hao Shao2Yi-Fan Zhao3Yu-Ming Chu41 Department of Mathematics, Huzhou University, Huzhou 313000, China1 Department of Mathematics, Huzhou University, Huzhou 313000, China1 Department of Mathematics, Huzhou University, Huzhou 313000, China1 Department of Mathematics, Huzhou University, Huzhou 313000, China2 College of Science, Hunan City University, Yiyang 413000, China 3 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaIn the article, we establish some monotonicity properties for certain functions involving the complete <em>p</em>-elliptic integrals of the first and second kinds, and find several sharp bounds for the <em>p</em>-elliptic integrals. Our results are the generalizations and improvements of some previously known results for the classical complete elliptic integrals.https://www.aimspress.com/article/10.3934/math.2020453/fulltext.htmlcomplete elliptic integralcomplete p-elliptic integralgeneralized trigonometric functionmonotonicitybound |
| spellingShingle | Xi-Fan Huang Miao-Kun Wang Hao Shao Yi-Fan Zhao Yu-Ming Chu Monotonicity properties and bounds for the complete p-elliptic integrals AIMS Mathematics complete elliptic integral complete p-elliptic integral generalized trigonometric function monotonicity bound |
| title | Monotonicity properties and bounds for the complete p-elliptic integrals |
| title_full | Monotonicity properties and bounds for the complete p-elliptic integrals |
| title_fullStr | Monotonicity properties and bounds for the complete p-elliptic integrals |
| title_full_unstemmed | Monotonicity properties and bounds for the complete p-elliptic integrals |
| title_short | Monotonicity properties and bounds for the complete p-elliptic integrals |
| title_sort | monotonicity properties and bounds for the complete p elliptic integrals |
| topic | complete elliptic integral complete p-elliptic integral generalized trigonometric function monotonicity bound |
| url | https://www.aimspress.com/article/10.3934/math.2020453/fulltext.html |
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