Some new kinds of interpolation formulas and its applications
In this work, using the determination function, some new kinds of interpolation formulas are presented.These novel formulas are extensions of Lagrange interpolation. Error formula for these new kind of interpolation formulas are obtained. Finally, using these formulas, some new numerical integration...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Qom University of Technology
2022-09-01
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| Series: | Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://mcs.qut.ac.ir/article_254926_c996cec8b10698be0d2e0bbc0d0c1602.pdf |
| _version_ | 1797324011405836288 |
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| author | M. A Jafari A Aminataei |
| author_facet | M. A Jafari A Aminataei |
| author_sort | M. A Jafari |
| collection | DOAJ |
| description | In this work, using the determination function, some new kinds of interpolation formulas are presented.These novel formulas are extensions of Lagrange interpolation. Error formula for these new kind of interpolation formulas are obtained. Finally, using these formulas, some new numerical integration formulas in closed-type and open-type are presented. Absolute error of quadrature formulas show the efficiency of the proposed formulas. |
| first_indexed | 2024-03-08T05:36:18Z |
| format | Article |
| id | doaj.art-d969512d5f374d12b79d5ad3c43f64aa |
| institution | Directory Open Access Journal |
| issn | 2717-2708 |
| language | English |
| last_indexed | 2024-03-08T05:36:18Z |
| publishDate | 2022-09-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj.art-d969512d5f374d12b79d5ad3c43f64aa2024-02-05T19:33:13ZengQom University of TechnologyMathematics and Computational Sciences2717-27082022-09-0133404610.30511/mcs.2022.560394.1076254926Some new kinds of interpolation formulas and its applicationsM. A Jafari0A Aminataei1Financial Mathematics Department, Finance Faculty, Kharazmi University, Tehran, IranFaculty of Mathematics, K. N. Toosi University of Technology, Tehran, IranIn this work, using the determination function, some new kinds of interpolation formulas are presented.These novel formulas are extensions of Lagrange interpolation. Error formula for these new kind of interpolation formulas are obtained. Finally, using these formulas, some new numerical integration formulas in closed-type and open-type are presented. Absolute error of quadrature formulas show the efficiency of the proposed formulas.https://mcs.qut.ac.ir/article_254926_c996cec8b10698be0d2e0bbc0d0c1602.pdfinterpolation formulaerror formulanumerical integration |
| spellingShingle | M. A Jafari A Aminataei Some new kinds of interpolation formulas and its applications Mathematics and Computational Sciences interpolation formula error formula numerical integration |
| title | Some new kinds of interpolation formulas and its applications |
| title_full | Some new kinds of interpolation formulas and its applications |
| title_fullStr | Some new kinds of interpolation formulas and its applications |
| title_full_unstemmed | Some new kinds of interpolation formulas and its applications |
| title_short | Some new kinds of interpolation formulas and its applications |
| title_sort | some new kinds of interpolation formulas and its applications |
| topic | interpolation formula error formula numerical integration |
| url | https://mcs.qut.ac.ir/article_254926_c996cec8b10698be0d2e0bbc0d0c1602.pdf |
| work_keys_str_mv | AT majafari somenewkindsofinterpolationformulasanditsapplications AT aaminataei somenewkindsofinterpolationformulasanditsapplications |