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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 4PP: 167-173 • 2025

The Degree of Best Approximation of Functions via Some Linear Operators

Humam A. Abdulrazzaq 1* ,
Raad Falih Hasan 2 ,
Abed S. A. 3 ,
Faisal Al-Sharqi 1
1Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq
2Ministry of Education, General Directorate of Education, Baghdad, Third Rusafa, Iraq
3College of Administration and Economics, Diyala University, Iraq
* Corresponding Author.
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: March 06, 2025 Revised: May 08, 2025 Accepted: June 09, 2025

Abstract

The concentration of linear operators is unpretentious to prove in measurable space   but there is few works in weighted space, here we will include characteristics of approximate of unrestrained functions in measured space by lined operators via direct and converse approximation theorems. In addition, the relationship between modulus of softness and K- functional where, we proven are together tools equivalence.

Keywords

Approximation of functions Linear operators Weighted space Modulus of smoothness K-functional

References

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Abdulrazzaq, Humam A., Hasan, Raad Falih, A., Abed S., Al-Sharqi, Faisal. "The Degree of Best Approximation of Functions via Some Linear Operators." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 4, 2025, pp. 167-173. DOI: https://doi.org/10.54216/IJNS.260416
Abdulrazzaq, H., Hasan, R., A., A., Al-Sharqi, F. (2025). The Degree of Best Approximation of Functions via Some Linear Operators. International Journal of Neutrosophic Science, Volume 26(Issue 4), 167-173. DOI: https://doi.org/10.54216/IJNS.260416
Abdulrazzaq, Humam A., Hasan, Raad Falih, A., Abed S., Al-Sharqi, Faisal. "The Degree of Best Approximation of Functions via Some Linear Operators." International Journal of Neutrosophic Science Volume 26, no. Issue 4 (2025): 167-173. DOI: https://doi.org/10.54216/IJNS.260416
Abdulrazzaq, H., Hasan, R., A., A., Al-Sharqi, F. (2025) 'The Degree of Best Approximation of Functions via Some Linear Operators', International Journal of Neutrosophic Science, Volume 26(Issue 4), pp. 167-173. DOI: https://doi.org/10.54216/IJNS.260416
Abdulrazzaq H, Hasan R, A. A, Al-Sharqi F. The Degree of Best Approximation of Functions via Some Linear Operators. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 4):167-173. DOI: https://doi.org/10.54216/IJNS.260416
H. Abdulrazzaq, R. Hasan, A. A., F. Al-Sharqi, "The Degree of Best Approximation of Functions via Some Linear Operators," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 4, pp. 167-173, 2025. DOI: https://doi.org/10.54216/IJNS.260416
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