Schur-power convexity of integral mean for convex functions on the coordinates
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore, we introduce novel and fascinating inequalit...
| Main Authors: | , |
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| פורמט: | Article |
| שפה: | English |
| יצא לאור: |
De Gruyter
2023-12-01
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| סדרה: | Open Mathematics |
| נושאים: | |
| גישה מקוונת: | https://doi.org/10.1515/math-2023-0157 |
| _version_ | 1827596134644711424 |
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| author | Shi Huannan Zhang Jing |
| author_facet | Shi Huannan Zhang Jing |
| author_sort | Shi Huannan |
| collection | DOAJ |
| description | In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore, we introduce novel and fascinating inequalities for binary means as a practical application. |
| first_indexed | 2024-03-09T03:06:15Z |
| format | Article |
| id | doaj.art-a78af38c51294311a856ac288cb15b51 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-03-09T03:06:15Z |
| publishDate | 2023-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-a78af38c51294311a856ac288cb15b512023-12-04T07:59:57ZengDe GruyterOpen Mathematics2391-54552023-12-0121185385610.1515/math-2023-0157Schur-power convexity of integral mean for convex functions on the coordinatesShi Huannan0Zhang Jing1Department of Electronic information, Teacher’s College, Beijing Union University, Beijing 100011, P. R. ChinaInstitute of Fundamental and Interdisciplinary Sciences, Beijing Union University, Beijing 100101, P. R. ChinaIn this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore, we introduce novel and fascinating inequalities for binary means as a practical application.https://doi.org/10.1515/math-2023-0157schur-geometric convexityschur-harmonic convexitymonotonicityschur-power convexityconvex functions on the coordinatesinequalitybinary means26b2526d1526a51 |
| spellingShingle | Shi Huannan Zhang Jing Schur-power convexity of integral mean for convex functions on the coordinates Open Mathematics schur-geometric convexity schur-harmonic convexity monotonicity schur-power convexity convex functions on the coordinates inequality binary means 26b25 26d15 26a51 |
| title | Schur-power convexity of integral mean for convex functions on the coordinates |
| title_full | Schur-power convexity of integral mean for convex functions on the coordinates |
| title_fullStr | Schur-power convexity of integral mean for convex functions on the coordinates |
| title_full_unstemmed | Schur-power convexity of integral mean for convex functions on the coordinates |
| title_short | Schur-power convexity of integral mean for convex functions on the coordinates |
| title_sort | schur power convexity of integral mean for convex functions on the coordinates |
| topic | schur-geometric convexity schur-harmonic convexity monotonicity schur-power convexity convex functions on the coordinates inequality binary means 26b25 26d15 26a51 |
| url | https://doi.org/10.1515/math-2023-0157 |
| work_keys_str_mv | AT shihuannan schurpowerconvexityofintegralmeanforconvexfunctionsonthecoordinates AT zhangjing schurpowerconvexityofintegralmeanforconvexfunctionsonthecoordinates |