{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T23:27:01Z","timestamp":1777418821769,"version":"3.51.4"},"reference-count":12,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,3,23]],"date-time":"2011-03-23T00:00:00Z","timestamp":1300838400000},"content-version":"vor","delay-in-days":81,"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001475","name":"Nanyang Technological University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001475","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":[[2011,1]]},"abstract":"<jats:p>The following inequality for 0 &lt; <jats:italic>p<\/jats:italic> &lt; 1 and <jats:italic>a<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub> \u2265 0 originates from a study of Hardy, Littlewood, and P\u00f3lya: . Levin and Ste\u010dkin proved the previous inequality with the best constant <jats:italic>c<\/jats:italic><jats:sub><jats:italic>p<\/jats:italic><\/jats:sub> = (<jats:italic>p<\/jats:italic>\/(1 \u2212 <jats:italic>p<\/jats:italic>))\u2009<jats:sup><jats:italic>p<\/jats:italic><\/jats:sup> for 0 &lt; <jats:italic>p<\/jats:italic> \u2264 1\/3. In this paper, we extend the result of Levin and Ste\u010dkin to 0 &lt; <jats:italic>p<\/jats:italic> \u2264 0.346.<\/jats:p>","DOI":"10.1155\/2011\/534391","type":"journal-article","created":{"date-parts":[[2011,3,23]],"date-time":"2011-03-23T19:32:01Z","timestamp":1300908721000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["On a Result of Levin and Ste\u010dkin"],"prefix":"10.1155","volume":"2011","author":[{"given":"Peng","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,3,23]]},"reference":[{"key":"e_1_2_7_1_2","volume-title":"Inequalities","author":"Hardy G. H.","year":"1952"},{"key":"e_1_2_7_2_2","first-page":"1","article-title":"Inequalities","volume":"14","author":"Levin V. 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