An-Najah University Journal for Research - A (Natural Sciences)

Full text
The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ
DOI:
10.35552/anujr.a.39.1.2230
Authors:

Article info

2023-11-30
2024-02-27
2024-08-11
None - None

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.

Recommended Citation

BibTex RIS
Aslan, H., & Abbas, H. (2025). The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n. An-Najah University Journal for Research - A (Natural Sciences), 39(1). https://doi.org/10.35552/anujr.a.39.1.2230
[1]H. Aslan and H. Abbas, “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n,” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, Feb. 2025, doi: 10.35552/anujr.a.39.1.2230.
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n.” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, Feb. 2025. Crossref, https://doi.org/10.35552/anujr.a.39.1.2230.
1.Aslan H, Abbas H. The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2025 Feb;39(1). Available from: http://dx.doi.org/10.35552/anujr.a.39.1.2230
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n.” An-Najah University Journal for Research - A (Natural Sciences) 39, no. 1 (February 2025). https://doi.org/10.35552/anujr.a.39.1.2230.
The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region Eₙ In the Space Rⁿ
DOI:
10.35552/anujr.a.39.1.2230
المؤلفون:

معلومات المقال

2023-11-30
2024-02-27
2024-08-11
None - None

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.

Recommended Citation

BibTex RIS
Aslan, H., & Abbas, H. (2025). The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n. An-Najah University Journal for Research - A (Natural Sciences), 39(1). https://doi.org/10.35552/anujr.a.39.1.2230
[1]H. Aslan and H. Abbas, “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n,” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, Feb. 2025, doi: 10.35552/anujr.a.39.1.2230.
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n.” An-Najah University Journal for Research - A (Natural Sciences), vol. 39, no. 1, Feb. 2025. Crossref, https://doi.org/10.35552/anujr.a.39.1.2230.
1.Aslan H, Abbas H. The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2025 Feb;39(1). Available from: http://dx.doi.org/10.35552/anujr.a.39.1.2230
Aslan, Hiba, and Hamed Abbas. “The Approximate Integrals by the Reproducing Kernel Method on the Elliptical Region E_n In the Space R^n.” An-Najah University Journal for Research - A (Natural Sciences) 39, no. 1 (February 2025). https://doi.org/10.35552/anujr.a.39.1.2230.
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