{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T21:42:37Z","timestamp":1775857357016,"version":"3.50.1"},"reference-count":30,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,2,16]],"date-time":"2023-02-16T00:00:00Z","timestamp":1676505600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Innovation Key Project of Guangxi Province","award":["222068071"],"award-info":[{"award-number":["222068071"]}]},{"name":"Innovation Key Project of Guangxi Province","award":["62166011"],"award-info":[{"award-number":["62166011"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["222068071"],"award-info":[{"award-number":["222068071"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62166011"],"award-info":[{"award-number":["62166011"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>By means of the weight functions, the idea of introduced parameters, using the transfer formula and Hermite\u2013Hadamard\u2019s inequality, a more accurate half-discrete multidimensional Hilbert-type inequality with the homogeneous kernel as 1(x+||k\u2212\u03be||\u03b1)\u03bb(x,\u03bb&gt;0) involving one multiple upper limit function is given, which is a new application of Hilbert-type inequalities. The equivalent conditions of the best possible constant factor related to several parameters are considered. The equivalent forms the operator expressions and some particular inequalities are obtained.<\/jats:p>","DOI":"10.3390\/axioms12020211","type":"journal-article","created":{"date-parts":[[2023,2,17]],"date-time":"2023-02-17T01:32:56Z","timestamp":1676597576000},"page":"211","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A More Accurate Half-Discrete Multidimensional Hilbert-Type Inequality Involving One Multiple Upper Limit Function"],"prefix":"10.3390","volume":"12","author":[{"given":"Yong","family":"Hong","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Guangzhou Huashang College, Guangzhou 511300, China"},{"name":"College of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanru","family":"Zhong","sequence":"additional","affiliation":[{"name":"School of Computer Science and Information Security, Guilin University of Electronic Technology, Guilin 541004, 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":[[2023,2,16]]},"reference":[{"key":"ref_1","unstructured":"Hardy, G.H., Littlewood, J.E., and Polya, G. 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