Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators

Jaspreet Kaur; Meenu Goyal; Khursheed Ansari

doi:10.33401/fujma.1814144

Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators

Abstract

In the present article, we study the approximation properties of new discrete operators based on Laguerre polynomials constructed by Gupta [28]. We study the convergence and rate of approximation for these operators on compact interval. Also, we prove some quantitative Voronovskaja type results as well as Grüss type asymptotic formulae with appropriate modulus of continuity defined in weighted spaces. At last, we present the convergence by using certain examples.

Keywords

References

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Details

Primary Language

English

Subjects

Approximation Theory and Asymptotic Methods

Journal Section

Research Article

Authors

Jaspreet Kaur
0000-0002-3685-0221
India

Meenu Goyal
0000-0002-4883-5934
India

Khursheed Ansari ^*
0000-0003-4564-6211
Saudi Arabia

Publication Date

December 30, 2025

Submission Date

October 31, 2025

Acceptance Date

December 13, 2025

Published in Issue

Year 2025 Volume: 8 Number: 4

DOI

https://doi.org/10.33401/fujma.1814144

IZ

https://izlik.org/JA98YH38WG

Cite

RIS / Bibtex

APA

Kaur, J., Goyal, M., & Ansari, K. (2025). Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators. Fundamental Journal of Mathematics and Applications, 8(4), 212-224. https://doi.org/10.33401/fujma.1814144

AMA

1.Kaur J, Goyal M, Ansari K. Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators. Fundam. J. Math. Appl. 2025;8(4):212-224. doi:10.33401/fujma.1814144

Chicago

Kaur, Jaspreet, Meenu Goyal, and Khursheed Ansari. 2025. “Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators”. Fundamental Journal of Mathematics and Applications 8 (4): 212-24. https://doi.org/10.33401/fujma.1814144.

EndNote

Kaur J, Goyal M, Ansari K (December 1, 2025) Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators. Fundamental Journal of Mathematics and Applications 8 4 212–224.

IEEE

[1]J. Kaur, M. Goyal, and K. Ansari, “Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators”, Fundam. J. Math. Appl., vol. 8, no. 4, pp. 212–224, Dec. 2025, doi: 10.33401/fujma.1814144.

ISNAD

Kaur, Jaspreet - Goyal, Meenu - Ansari, Khursheed. “Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators”. Fundamental Journal of Mathematics and Applications 8/4 (December 1, 2025): 212-224. https://doi.org/10.33401/fujma.1814144.

JAMA

1.Kaur J, Goyal M, Ansari K. Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators. Fundam. J. Math. Appl. 2025;8:212–224.

MLA

Kaur, Jaspreet, et al. “Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators”. Fundamental Journal of Mathematics and Applications, vol. 8, no. 4, Dec. 2025, pp. 212-24, doi:10.33401/fujma.1814144.

Vancouver

1.Jaspreet Kaur, Meenu Goyal, Khursheed Ansari. Approximation and Estimation Errors of New Kind of Laugerre and Rathore Operators. Fundam. J. Math. Appl. 2025 Dec. 1;8(4):212-24. doi:10.33401/fujma.1814144