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Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space

Year 2026, Volume: 18 Issue: 1, 111 - 119, 23.02.2026
https://doi.org/10.47000/tjmcs.1794000
https://izlik.org/JA97BN73CM

Abstract

In the setting of modular spaces, we present a Korovkin-type approximation theorem for a class of nonlinear operators by employing power series statistical convergence. An illustrative example is also provided to demonstrate the applicability of the main result.

References

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There are 24 citations in total.

Details

Primary Language English
Subjects Approximation Theory and Asymptotic Methods
Journal Section Research Article
Authors

Emre Taş 0000-0002-6569-626X

Sevil Aykanat 0000-0002-5999-2281

Submission Date September 30, 2025
Acceptance Date November 17, 2025
Publication Date February 23, 2026
DOI https://doi.org/10.47000/tjmcs.1794000
IZ https://izlik.org/JA97BN73CM
Published in Issue Year 2026 Volume: 18 Issue: 1

Cite

APA Taş, E., & Aykanat, S. (2026). Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space. Turkish Journal of Mathematics and Computer Science, 18(1), 111-119. https://doi.org/10.47000/tjmcs.1794000
AMA 1.Taş E, Aykanat S. Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space. TJMCS. 2026;18(1):111-119. doi:10.47000/tjmcs.1794000
Chicago Taş, Emre, and Sevil Aykanat. 2026. “Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space”. Turkish Journal of Mathematics and Computer Science 18 (1): 111-19. https://doi.org/10.47000/tjmcs.1794000.
EndNote Taş E, Aykanat S (February 1, 2026) Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space. Turkish Journal of Mathematics and Computer Science 18 1 111–119.
IEEE [1]E. Taş and S. Aykanat, “Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space”, TJMCS, vol. 18, no. 1, pp. 111–119, Feb. 2026, doi: 10.47000/tjmcs.1794000.
ISNAD Taş, Emre - Aykanat, Sevil. “Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space”. Turkish Journal of Mathematics and Computer Science 18/1 (February 1, 2026): 111-119. https://doi.org/10.47000/tjmcs.1794000.
JAMA 1.Taş E, Aykanat S. Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space. TJMCS. 2026;18:111–119.
MLA Taş, Emre, and Sevil Aykanat. “Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 1, Feb. 2026, pp. 111-9, doi:10.47000/tjmcs.1794000.
Vancouver 1.Emre Taş, Sevil Aykanat. Approximation Results of Nonlinear Operators via Power Series Statistical Convergence in Modular Space. TJMCS. 2026 Feb. 1;18(1):111-9. doi:10.47000/tjmcs.1794000