{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:41:29Z","timestamp":1740134489024,"version":"3.37.3"},"reference-count":0,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002532","name":"Kyungsung University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002532","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":[[2002,1]]},"abstract":"<jats:p>We prove that if <jats:italic>f<\/jats:italic>(<jats:italic>z<\/jats:italic>) is a continuous real\u2010valued function on\n<jats:italic>\u211d<\/jats:italic> with the properties <jats:italic>f<\/jats:italic>(0) = <jats:italic>f<\/jats:italic>(1) = 0 and that \u2016<jats:italic>f<\/jats:italic>\u2016<jats:sub>\u2009<jats:italic>z<\/jats:italic><\/jats:sub>\u2009 = inf<jats:sub><jats:italic>x<\/jats:italic>,<jats:italic>t<\/jats:italic><\/jats:sub>|<jats:italic>f<\/jats:italic>(<jats:italic>x<\/jats:italic> + <jats:italic>t<\/jats:italic>) \u2212 2<jats:italic>f<\/jats:italic>(<jats:italic>x<\/jats:italic>) + <jats:italic>f<\/jats:italic>(<jats:italic>x<\/jats:italic> \u2212 <jats:italic>t<\/jats:italic>)\/<jats:italic>t<\/jats:italic>|is finite for all <jats:italic>x<\/jats:italic>, <jats:italic>t<\/jats:italic> \u2208 <jats:italic>\u211d<\/jats:italic>, which is called Zygmund function on <jats:italic>\u211d<\/jats:italic>, then max<jats:sub><jats:italic>x<\/jats:italic>\u2208[0,1]<\/jats:sub>|<jats:italic>f<\/jats:italic>(<jats:italic>x<\/jats:italic>)| \u2264 (11\/32)\u2016<jats:italic>f<\/jats:italic>\u2016<jats:sub><jats:italic>z<\/jats:italic><\/jats:sub>. As an\napplication, we obtain a better estimate for Skedwed Zygmund\nbound in Zygmund class.<\/jats:p>","DOI":"10.1155\/s0161171202202306","type":"journal-article","created":{"date-parts":[[2002,10,10]],"date-time":"2002-10-10T05:47:54Z","timestamp":1034228874000},"page":"65-71","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the maximum value for Zygmund class on an interval"],"prefix":"10.1155","volume":"32","author":[{"given":"Huang","family":"Xinzhong","sequence":"first","affiliation":[]},{"given":"Oh Sang","family":"Kwon","sequence":"additional","affiliation":[]},{"given":"Jun Eak","family":"Park","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2002,10,8]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2002\/329498.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171202202306","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T20:26:01Z","timestamp":1723062361000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171202202306"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2002,1]]}},"alternative-id":["10.1155\/S0161171202202306"],"URL":"https:\/\/doi.org\/10.1155\/s0161171202202306","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2002,1]]},"assertion":[{"value":"2002-02-02","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2002-10-08","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}