{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:19:34Z","timestamp":1760149174019,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,7,10]],"date-time":"2023-07-10T00:00:00Z","timestamp":1688947200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation","award":["61772140","2021ZDJS056","20220101181-7"],"award-info":[{"award-number":["61772140","2021ZDJS056","20220101181-7"]}]},{"name":"Key Construction Discipline Scientific Research Ability Promotion Project of Guangdong Province","award":["61772140","2021ZDJS056","20220101181-7"],"award-info":[{"award-number":["61772140","2021ZDJS056","20220101181-7"]}]},{"name":"Guangzhou Base Applied Research Project","award":["61772140","2021ZDJS056","20220101181-7"],"award-info":[{"award-number":["61772140","2021ZDJS056","20220101181-7"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>By using the methods of real analysis and the mid-value theorem, we introduce some lemmas and obtain a new reverse extended Hardy\u2013Hilbert\u2019s inequality with two partial sums and multi-parameters. We also give a few equivalent conditions of the best possible constant factor related to several parameters in the new inequality. Some particular inequalities are deduced.<\/jats:p>","DOI":"10.3390\/axioms12070678","type":"journal-article","created":{"date-parts":[[2023,7,11]],"date-time":"2023-07-11T01:58:14Z","timestamp":1689040694000},"page":"678","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A New Reverse Extended Hardy\u2013Hilbert\u2019s Inequality with Two Partial Sums and Parameters"],"prefix":"10.3390","volume":"12","author":[{"given":"Jianquan","family":"Liao","sequence":"first","affiliation":[{"name":"School of Mathematics, Guangdong University of Education, Guangzhou 510303, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bicheng","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Mathematics, Guangdong University of Education, Guangzhou 510303, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,7,10]]},"reference":[{"key":"ref_1","unstructured":"Hardy, G.H., Littlewood, J.E., and Polya, G. 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