![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
In this paper some useful properties of the ultraspherical polynomials are derived. An ultraspherical approximation of any continuous function is presented. An ultraspherical approximation of finite integrals is introduced. The error estimation for the ultraspherical approximation is derived. An algorithm that gives an optimal approximation of the integrals is introduced. Numerical results are included to confirm the efficiency and accuracy of the method.
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
