{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,27]],"date-time":"2024-06-27T20:40:05Z","timestamp":1719520805980},"reference-count":0,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2004,1,11]],"date-time":"2004-01-11T00:00:00Z","timestamp":1073779200000},"content-version":"vor","delay-in-days":10,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["10001016"],"award-info":[{"award-number":["10001016"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>Let <jats:italic>n<\/jats:italic> and <jats:italic>m<\/jats:italic> be natural numbers. Suppose that  is an increasing, logarithmically convex, and positive sequence. Denote the power mean <jats:italic>P<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>(<jats:italic>r<\/jats:italic>) for any given positive real number <jats:italic>r<\/jats:italic> by . Then <jats:italic>P<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>(<jats:italic>r<\/jats:italic>)\/<jats:italic>P<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic>+<jats:italic>m<\/jats:italic><\/jats:sub>(<jats:italic>r<\/jats:italic>) \u2265 <jats:italic>a<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>\/<jats:italic>a<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic>+<jats:italic>m<\/jats:italic><\/jats:sub>. The lower bound is the best possible.<\/jats:p>","DOI":"10.1155\/s0161171204208158","type":"journal-article","created":{"date-parts":[[2004,1,12]],"date-time":"2004-01-12T13:07:22Z","timestamp":1073912842000},"page":"49-53","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A lower bound for ratio of power means"],"prefix":"10.1155","volume":"2004","author":[{"given":"Feng","family":"Qi","sequence":"first","affiliation":[]},{"given":"Bai-Ni","family":"Guo","sequence":"additional","affiliation":[]},{"given":"Lokenath","family":"Debnath","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2004,1,11]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/705832.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204208158","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,27]],"date-time":"2024-06-27T20:25:45Z","timestamp":1719519945000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204208158"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204208158"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204208158","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2002-08-29","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-01-11","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}