Sharp Power Mean Bounds for Two Seiffert-like Means
The mean is a subject of extensive study among scholars, and the pursuit of optimal power mean bounds is a highly active field. This article begins with a concise overview of recent advancements in this area, focusing specifically on Seiffert-like means. We establish sharp power mean bounds for two...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/10/910 |
| _version_ | 1797574720733839360 |
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| author | Zhenhang Yang Jing Zhang |
| author_facet | Zhenhang Yang Jing Zhang |
| author_sort | Zhenhang Yang |
| collection | DOAJ |
| description | The mean is a subject of extensive study among scholars, and the pursuit of optimal power mean bounds is a highly active field. This article begins with a concise overview of recent advancements in this area, focusing specifically on Seiffert-like means. We establish sharp power mean bounds for two Seiffert-like means, including the introduction and establishment of the best asymmetric mean bounds for symmetric means. Additionally, we explore the practical applications of these findings by extending several intriguing chains of inequalities that involve more than ten means. This comprehensive analysis provides a deeper understanding of the relationships and properties of these means. |
| first_indexed | 2024-03-10T21:26:19Z |
| format | Article |
| id | doaj.art-4f221c993bb64c89be7b74fae60a4db9 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T21:26:19Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-4f221c993bb64c89be7b74fae60a4db92023-11-19T15:37:46ZengMDPI AGAxioms2075-16802023-09-01121091010.3390/axioms12100910Sharp Power Mean Bounds for Two Seiffert-like MeansZhenhang Yang0Jing Zhang1Department of Science and Technology, Stated Grid Zhejiang Electric Power Company Research Institute, Hangzhou 310014, ChinaInstitute of Fundamental and Interdisciplinary Sciences, Beijing Union University, Beijing 100101, ChinaThe mean is a subject of extensive study among scholars, and the pursuit of optimal power mean bounds is a highly active field. This article begins with a concise overview of recent advancements in this area, focusing specifically on Seiffert-like means. We establish sharp power mean bounds for two Seiffert-like means, including the introduction and establishment of the best asymmetric mean bounds for symmetric means. Additionally, we explore the practical applications of these findings by extending several intriguing chains of inequalities that involve more than ten means. This comprehensive analysis provides a deeper understanding of the relationships and properties of these means.https://www.mdpi.com/2075-1680/12/10/910Seiffert-like meanpower mean boundchains of inequalities |
| spellingShingle | Zhenhang Yang Jing Zhang Sharp Power Mean Bounds for Two Seiffert-like Means Axioms Seiffert-like mean power mean bound chains of inequalities |
| title | Sharp Power Mean Bounds for Two Seiffert-like Means |
| title_full | Sharp Power Mean Bounds for Two Seiffert-like Means |
| title_fullStr | Sharp Power Mean Bounds for Two Seiffert-like Means |
| title_full_unstemmed | Sharp Power Mean Bounds for Two Seiffert-like Means |
| title_short | Sharp Power Mean Bounds for Two Seiffert-like Means |
| title_sort | sharp power mean bounds for two seiffert like means |
| topic | Seiffert-like mean power mean bound chains of inequalities |
| url | https://www.mdpi.com/2075-1680/12/10/910 |
| work_keys_str_mv | AT zhenhangyang sharppowermeanboundsfortwoseiffertlikemeans AT jingzhang sharppowermeanboundsfortwoseiffertlikemeans |