{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:20Z","timestamp":1740134540461,"version":"3.37.3"},"reference-count":25,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100005710","name":"Universiti Teknologi PETRONAS","doi-asserted-by":"publisher","award":["35\/2012"],"award-info":[{"award-number":["35\/2012"]}],"id":[{"id":"10.13039\/501100005710","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>This paper discussed the local control of interpolating function by using rational cubic spline (cubic\/quadratic) with three parameters originally proposed by the authors. The rational spline has<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:msup><mml:mi>C<\/mml:mi><mml:mn>1<\/mml:mn><\/mml:msup><\/mml:mrow><\/mml:math>continuity. The bounded properties of the rational cubic interpolants and shape controls of the rational interpolants are discussed in detail. The value control, inflection point control, and convexity control at a point by using the proposed rational cubic spline are constructed. Several numerical results are presented to show the capability of the method. Numerical comparisons with the existing scheme are also further elaborated. From the results, it was indicated that the scheme works well and it is comparable with the established existing scheme.<\/jats:p>","DOI":"10.1155\/2014\/872637","type":"journal-article","created":{"date-parts":[[2014,3,2]],"date-time":"2014-03-02T16:01:26Z","timestamp":1393776086000},"page":"1-12","source":"Crossref","is-referenced-by-count":5,"title":["Local Control of the Curves Using Rational Cubic Spline"],"prefix":"10.1155","volume":"2014","author":[{"given":"Samsul Ariffin","family":"Abdul Karim","sequence":"first","affiliation":[{"name":"Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 31750 Tronoh, Perak Darul Ridzuan, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kong","family":"Voon Pang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Minden, Penang, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/0097-8493(93)90051-A"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/0097-8493(91)90026-E"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.2307\/2008477"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1137\/0717021"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1137\/0905021"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1137\/0720057"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01934097"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(02)00209-8"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.03.034"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.eij.2011.10.002"},{"key":"11","first-page":"35","volume":"7","year":"2011","journal-title":"Journal of Prime Research in Mathematics"},{"issue":"4","key":"12","first-page":"799","volume":"2","year":"2005","journal-title":"Journal of Information and Computational Science"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvcir.2009.03.003"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2010.02.003"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.cad.2009.05.002"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cag.2010.01.002"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1002\/mma.2683"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1080\/00207160802132897"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/0097-8493(94)90089-2"},{"key":"20","first-page":"5861","volume":"9","year":"2013","journal-title":"Journal of Computational Information Systems"},{"key":"25b"},{"key":"26"},{"key":"27"},{"key":"25a","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/531497"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2006.04.021"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/872637.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/872637.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/872637.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,29]],"date-time":"2016-07-29T06:31:16Z","timestamp":1469773876000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/872637\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":25,"alternative-id":["872637","872637"],"URL":"https:\/\/doi.org\/10.1155\/2014\/872637","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}