{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,20]],"date-time":"2024-08-20T02:03:08Z","timestamp":1724119388738},"reference-count":21,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Fundamental Research Grant Scheme","award":["203\/PMATHS\/6711365"],"award-info":[{"award-number":["203\/PMATHS\/6711365"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>A smooth curve interpolation scheme for positive, monotone, and convex data is developed. This scheme uses rational cubic Ball representation with four shape parameters in its description. Conditions of two shape parameters are derived in such a way that they preserve the shape of the data, whereas the other two parameters remain free to enable the user to modify the shape of the curve. The degree of smoothness is<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mrow><mml:mi>C<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:math>. The outputs from a number of numerical experiments are presented.<\/jats:p>","DOI":"10.1155\/2015\/908924","type":"journal-article","created":{"date-parts":[[2015,6,24]],"date-time":"2015-06-24T21:02:19Z","timestamp":1435179739000},"page":"1-9","source":"Crossref","is-referenced-by-count":3,"title":["Shape Preserving Data Interpolation Using Rational Cubic Ball Functions"],"prefix":"10.1155","volume":"2015","author":[{"given":"Ayser Nasir Hassan","family":"Tahat","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Pulau, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abd Rahni Mt","family":"Piah","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Pulau, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zainor Ridzuan","family":"Yahya","sequence":"additional","affiliation":[{"name":"Institut Matematik Kejuruteraan, Universiti Malaysia Perlis, Kampus Pauh Putra, 02600 Arau, Perlis, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"98","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2005.04.039"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/s0097-8493(01)00125-x"},{"issue":"1","key":"3","first-page":"17","volume":"2","year":"2007","journal-title":"Journal of Information and Computing Science"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2011.627434"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.02.022"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1080\/00207160701595145"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1137\/0906065"},{"issue":"1\u20134","key":"9","first-page":"99","volume":"5","year":"2011","journal-title":"International Journal of Mathematical Analysis"},{"issue":"10","key":"10","first-page":"1173","volume":"40","year":"2011","journal-title":"Sains Malaysiana"},{"issue":"1","key":"11","first-page":"127","volume":"1","year":"2004","journal-title":"Journal of Information and Computational Science"},{"key":"12"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.18187\/pjsor.v8i1.392"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/0097-8493(91)90026-e"},{"issue":"2","key":"15","first-page":"193","volume":"29","year":"1992","journal-title":"Bulletin of the Korean Mathematical Society"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/s0020-0255(02)00209-8"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.18187\/pjsor.v9i2.566"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4485(74)90009-8"},{"issue":"1","key":"19","first-page":"126","volume":"2","year":"1987","journal-title":"Applied Mathematics"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1145\/77269.77275"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4485(91)90056-3"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8396(91)90037-c"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/908924.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/908924.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2015\/908924.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,27]],"date-time":"2016-07-27T18:28:38Z","timestamp":1469644118000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2015\/908924\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":21,"alternative-id":["908924","908924"],"URL":"https:\/\/doi.org\/10.1155\/2015\/908924","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}