Cesro Summable and Statistically Convergent Sequences in Polya's Sense
Abstract
This paper introduces and explores the concepts of Polya summability, strongly Polya summability, and statistical convergence in the Polya sense, establishing their relationships with classical summability methods, particularly Cesaro summability. We provide sufficient conditions for their equivalence, highlight key distinctions, and demonstrate these results through explicit examples. Notably, while every Cesaro summable sequence is Polya summable, the converse does not always hold. Additionally, we examine the connection between strongly Polya summable and Polya statistically convergent sequences, particularly for bounded and unbounded cases.
Keywords
References
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Details
Primary Language
English
Subjects
Pure Mathematics (Other)
Journal Section
Research Article
Publication Date
December 30, 2025
Submission Date
March 1, 2025
Acceptance Date
November 7, 2025
Published in Issue
Year 2025 Volume: 8 Number: 4
APA
Nuray Yıldırım, E., & Nuray, F. (2025). Cesro Summable and Statistically Convergent Sequences in Polya’s Sense. Fundamental Journal of Mathematics and Applications, 8(4), 203-211. https://doi.org/10.33401/fujma.1649410
AMA
1.Nuray Yıldırım E, Nuray F. Cesro Summable and Statistically Convergent Sequences in Polya’s Sense. Fundam. J. Math. Appl. 2025;8(4):203-211. doi:10.33401/fujma.1649410
Chicago
Nuray Yıldırım, Elif, and Fatih Nuray. 2025. “Cesro Summable and Statistically Convergent Sequences in Polya’s Sense”. Fundamental Journal of Mathematics and Applications 8 (4): 203-11. https://doi.org/10.33401/fujma.1649410.
EndNote
Nuray Yıldırım E, Nuray F (December 1, 2025) Cesro Summable and Statistically Convergent Sequences in Polya’s Sense. Fundamental Journal of Mathematics and Applications 8 4 203–211.
IEEE
[1]E. Nuray Yıldırım and F. Nuray, “Cesro Summable and Statistically Convergent Sequences in Polya’s Sense”, Fundam. J. Math. Appl., vol. 8, no. 4, pp. 203–211, Dec. 2025, doi: 10.33401/fujma.1649410.
ISNAD
Nuray Yıldırım, Elif - Nuray, Fatih. “Cesro Summable and Statistically Convergent Sequences in Polya’s Sense”. Fundamental Journal of Mathematics and Applications 8/4 (December 1, 2025): 203-211. https://doi.org/10.33401/fujma.1649410.
JAMA
1.Nuray Yıldırım E, Nuray F. Cesro Summable and Statistically Convergent Sequences in Polya’s Sense. Fundam. J. Math. Appl. 2025;8:203–211.
MLA
Nuray Yıldırım, Elif, and Fatih Nuray. “Cesro Summable and Statistically Convergent Sequences in Polya’s Sense”. Fundamental Journal of Mathematics and Applications, vol. 8, no. 4, Dec. 2025, pp. 203-11, doi:10.33401/fujma.1649410.
Vancouver
1.Elif Nuray Yıldırım, Fatih Nuray. Cesro Summable and Statistically Convergent Sequences in Polya’s Sense. Fundam. J. Math. Appl. 2025 Dec. 1;8(4):203-11. doi:10.33401/fujma.1649410
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