{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,28]],"date-time":"2025-11-28T04:47:22Z","timestamp":1764305242122,"version":"3.41.2"},"reference-count":28,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,10,29]],"date-time":"2011-10-29T00:00:00Z","timestamp":1319846400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["2011-0003898"],"award-info":[{"award-number":["2011-0003898"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002551","name":"Seoul National University","doi-asserted-by":"publisher","award":["2011-0003898"],"award-info":[{"award-number":["2011-0003898"]}],"id":[{"id":"10.13039\/501100002551","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We consider the Hyers\u2010Ulam stability problems for the Jensen\u2010type functional equations in general restricted domains. The main purpose of this paper is to find the restricted domains for which the functional inequality satisfied in those domains extends to the inequality for whole domain. As consequences of the results we obtain asymptotic behavior of the equations.<\/jats:p>","DOI":"10.1155\/2012\/691981","type":"journal-article","created":{"date-parts":[[2011,10,30]],"date-time":"2011-10-30T08:06:51Z","timestamp":1319962011000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Stability of Jensen\u2010Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors"],"prefix":"10.1155","volume":"2012","author":[{"given":"Jae-Young","family":"Chung","sequence":"first","affiliation":[]},{"given":"Dohan","family":"Kim","sequence":"additional","affiliation":[]},{"given":"John Michael","family":"Rassias","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2011,10,29]]},"reference":[{"volume-title":"A Collection of Mathematical Problems","year":"1960","author":"Ulam S. M.","key":"e_1_2_5_1_2"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.27.4.222"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/00210064"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1951-09511-7"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.36.10.564"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.2307\/2042795"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02941612"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1790-9"},{"key":"e_1_2_5_9_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-98-04680-2"},{"key":"e_1_2_5_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10114-005-0736-9"},{"key":"e_1_2_5_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2008.06.013"},{"key":"e_1_2_5_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulsci.2006.07.004"},{"key":"e_1_2_5_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(03)00136-7"},{"key":"e_1_2_5_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00439-0"},{"key":"e_1_2_5_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(82)90048-9"},{"key":"e_1_2_5_16_2","first-page":"377","article-title":"Sull\u2019approssimazione delle applicazioni localmente \u03b4\u2212additive","volume":"117","author":"Skof F.","year":"1983","journal-title":"Atti della Accademia delle Scienze di Torino Classe di Scienze Fisiche, Matematiche e Naturali"},{"key":"e_1_2_5_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02924890"},{"key":"e_1_2_5_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2007.07.001"},{"key":"e_1_2_5_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2007.08.009"},{"key":"e_1_2_5_20_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10474-010-9169-8"},{"key":"e_1_2_5_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.02.123"},{"key":"e_1_2_5_22_2","first-page":"1","article-title":"On a method of proving the Hyers-Ulam stability of functional equations on restricted domains","volume":"6","author":"Brzd\u0119k J.","year":"2009","journal-title":"The Australian Journal of Mathematical Analysis and Applications"},{"key":"e_1_2_5_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.11.036"},{"key":"e_1_2_5_24_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9637-4"},{"key":"e_1_2_5_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2009.09.004"},{"key":"e_1_2_5_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2008.03.054"},{"key":"e_1_2_5_27_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10474-009-9019-8"},{"key":"e_1_2_5_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.09.003"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/691981.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/691981.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/691981","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:44:29Z","timestamp":1718088269000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/691981"}},"subtitle":[],"editor":[{"given":"Junjie","family":"Wei","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2011,10,29]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/691981"],"URL":"https:\/\/doi.org\/10.1155\/2012\/691981","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2011,10,29]]},"assertion":[{"value":"2011-06-20","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-09-05","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-10-29","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"691981"}}