Original full research article
The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ
Keywords
- Cubature Formula
- Integral Points.
- Algebraic Precision
- Orthonormal Polynomials
- Reproducing kernel method
Abstract
In this paper, we applied the reproducing kernel method on elliptical region, we establish the formulas of the reproducing kernel from several degrees and generalized those formulas whatever the dimension of space, we obtained all surfaces, points, and their constants for compensation in the cubature formula, tables are included to show our results and examples to show the approximation solution in this method.
Article history
- Received
- 2023-11-30
- Accepted
- 2024-02-27
- Available online
- 2024-08-11
Recommended Citation
The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ
APA
Aslan, H., & Abbas, H. (2024). The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ. An-Najah University Journal for Research - A (Natural Sciences), 39(1), 1–6. https://doi.org/10.35552/anujr.a.39.1.2230
IEEE
[1]H. Aslan and H. Abbas, “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ,” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, pp. 1–6, Aug. 2024, doi: 10.35552/anujr.a.39.1.2230.
MLA
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ in the Space Rⁿ.” An-Najah University Journal for Research - A (Natural Sciences), edited by , vol. 39, no. 1, Aug. 2024, pp. 1–6. Crossref, https://doi.org/10.35552/anujr.a.39.1.2230.
Vancouver
1.Aslan H, Abbas H. The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2024 Aug;39(1):1–6. Available from: http://dx.doi.org/10.35552/anujr.a.39.1.2230
Chicago
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ.” An-Najah University Journal for Research - A (Natural Sciences) 39, no. 1 (August 2024): 1–6. https://doi.org/10.35552/anujr.a.39.1.2230.
بحث أصيل كامل
The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ
الكلمات الإفتتاحية
- Cubature Formula
- Integral Points.
- Algebraic Precision
- Orthonormal Polynomials
- Reproducing kernel method
الملخص
In this paper, we applied the reproducing kernel method on elliptical region, we establish the formulas of the reproducing kernel from several degrees and generalized those formulas whatever the dimension of space, we obtained all surfaces, points, and their constants for compensation in the cubature formula, tables are included to show our results and examples to show the approximation solution in this method.
Article history
- تاريخ التسليم
- 2023-11-30
- تاريخ القبول
- 2024-02-27
- Available online
- 2024-08-11
Recommended Citation
The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ
APA
Aslan, H., & Abbas, H. (2024). The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ. An-Najah University Journal for Research - A (Natural Sciences), 39(1), 1–6. https://doi.org/10.35552/anujr.a.39.1.2230
IEEE
[1]H. Aslan and H. Abbas, “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ,” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, pp. 1–6, Aug. 2024, doi: 10.35552/anujr.a.39.1.2230.
MLA
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ in the Space Rⁿ.” An-Najah University Journal for Research - A (Natural Sciences), edited by , vol. 39, no. 1, Aug. 2024, pp. 1–6. Crossref, https://doi.org/10.35552/anujr.a.39.1.2230.
Vancouver
1.Aslan H, Abbas H. The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2024 Aug;39(1):1–6. Available from: http://dx.doi.org/10.35552/anujr.a.39.1.2230
Chicago
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ.” An-Najah University Journal for Research - A (Natural Sciences) 39, no. 1 (August 2024): 1–6. https://doi.org/10.35552/anujr.a.39.1.2230.