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An improved upper bound for ultraspherical coefficients | ||
| Journal of Mathematical Modeling | ||
| دوره 10، شماره 3، آذر 2022، صفحه 421-431 اصل مقاله (175.16 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2022.21255.1861 | ||
| نویسندگان | ||
| Mehdi Hamzehnejad* 1؛ Mohammad Mehdi Hosseini2؛ Abbas Salemi2 | ||
| 1Department of Mathematics, Faculty of Science and Modern Technology, Graduate University of Advanced Technology, Kerman, Iran | ||
| 2Department of Applied Mathematics and Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| In this paper, new upper bounds for the ultraspherical coefficients of differentiable functions are presented. Using partial sums of ultraspherical polynomials, error approximations are presented to estimate differentiable functions. Also, an error estimate of the Gauss-Jacobi quadrature is obtained and we state an upper bound for Legendre coefficients which is sharper than upper bounds proposed so far. Numerical examples are given to assess the efficiency of the presented theoretical results. | ||
| کلیدواژه‌ها | ||
| Ultraspherical coefficients؛ approximation error؛ upper bound؛ Gauss-Jacobi quadrature | ||
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آمار تعداد مشاهده مقاله: 949 تعداد دریافت فایل اصل مقاله: 562 |
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