{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:55:20Z","timestamp":1753883720990,"version":"3.41.2"},"reference-count":15,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,1,19]],"date-time":"2012-01-19T00:00:00Z","timestamp":1326931200000},"content-version":"vor","delay-in-days":18,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Serbian Ministry of Science","award":["174022"],"award-info":[{"award-number":["174022"]}]}],"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>A class of three\u2010point methods for solving nonlinear equations of eighth order is constructed. \nThese methods are developed by combining two\u2010point Ostrowski\u2032s fourth\u2010order methods and a\nmodified Newton\u2032s method in the third step, obtained by a suitable approximation of the first\nderivative using the product of three weight functions. The proposed three\u2010step methods have\norder eight costing only four function evaluations, which supports the Kung\u2010Traub conjecture\non the optimal order of convergence. Two numerical examples for various weight functions are\ngiven to demonstrate very fast convergence and high computational efficiency of the proposed\nmultipoint methods.<\/jats:p>","DOI":"10.1155\/2012\/425867","type":"journal-article","created":{"date-parts":[[2012,1,19]],"date-time":"2012-01-19T21:04:10Z","timestamp":1327007050000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["A Family of Three\u2010Point Methods of Ostrowski\u2032s Type for Solving Nonlinear Equations"],"prefix":"10.1155","volume":"2012","author":[{"given":"Jovana","family":"D\u017euni\u0107","sequence":"first","affiliation":[]},{"given":"Miodrag S.","family":"Petkovi\u0107","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,1,19]]},"reference":[{"volume-title":"Iterative Methods for the Solution of Equations","year":"1964","author":"Traub J. 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