EN
On strongly deferred Cesaro summability and deferred statistical convergence of the sequences
Abstract
In this paper, it is shown that, if the sequence is strongly deferred Cesaro summable for any , then it must be deferred statistically convergent and the inverse is also satisfied when the sequence is bounded.
Keywords
References
- Agnew RP (1932). On deferred Cesaro Mean. Comm Ann Math, 33, 413-421.
- Armitage DH, Maddox IJ (1989) A new type of Cesaro Mean. Analysis 9,195-204.
- Buck RC (1953). Generalized asymptotic Density. Amer Math Comm 75, 335-346.
- Connor JS (1988). The statistical and strong p-Cesaro of sequences. Analysis 847-63.
- Connor JS (1989). On strong matrix summability with respect to a modulus and statistical convergence. Can Math Bull 32, 194-198.
- Erdös P, Tenenbaum G (1989). Sur les densites de certains suites d’entires. Proc London Math Soc 59, 417-438.
- Fast H (1951). Sur la Convergence statistique. Colloq Math 2241-244.
- Freedman AR, Sember JJ, Raphael M (1978). Some Cesaro type summability Spaces. Proc London Math Soc 37, 301-313.
Details
Primary Language
English
Subjects
-
Journal Section
-
Publication Date
June 23, 2013
Submission Date
November 8, 2012
Acceptance Date
-
Published in Issue
Year 2013 Volume: 3 Number: 1
APA
Kucukaslan, M., & Yılmazturk, M. (2013). On strongly deferred Cesaro summability and deferred statistical convergence of the sequences. Bitlis Eren University Journal of Science and Technology, 3(1), 22-25. https://doi.org/10.17678/beuscitech.47136
AMA
1.Kucukaslan M, Yılmazturk M. On strongly deferred Cesaro summability and deferred statistical convergence of the sequences. Bitlis Eren University Journal of Science and Technology. 2013;3(1):22-25. doi:10.17678/beuscitech.47136
Chicago
Kucukaslan, Mehmet, and Mujde Yılmazturk. 2013. “On Strongly Deferred Cesaro Summability and Deferred Statistical Convergence of the Sequences”. Bitlis Eren University Journal of Science and Technology 3 (1): 22-25. https://doi.org/10.17678/beuscitech.47136.
EndNote
Kucukaslan M, Yılmazturk M (June 1, 2013) On strongly deferred Cesaro summability and deferred statistical convergence of the sequences. Bitlis Eren University Journal of Science and Technology 3 1 22–25.
IEEE
[1]M. Kucukaslan and M. Yılmazturk, “On strongly deferred Cesaro summability and deferred statistical convergence of the sequences”, Bitlis Eren University Journal of Science and Technology, vol. 3, no. 1, pp. 22–25, June 2013, doi: 10.17678/beuscitech.47136.
ISNAD
Kucukaslan, Mehmet - Yılmazturk, Mujde. “On Strongly Deferred Cesaro Summability and Deferred Statistical Convergence of the Sequences”. Bitlis Eren University Journal of Science and Technology 3/1 (June 1, 2013): 22-25. https://doi.org/10.17678/beuscitech.47136.
JAMA
1.Kucukaslan M, Yılmazturk M. On strongly deferred Cesaro summability and deferred statistical convergence of the sequences. Bitlis Eren University Journal of Science and Technology. 2013;3:22–25.
MLA
Kucukaslan, Mehmet, and Mujde Yılmazturk. “On Strongly Deferred Cesaro Summability and Deferred Statistical Convergence of the Sequences”. Bitlis Eren University Journal of Science and Technology, vol. 3, no. 1, June 2013, pp. 22-25, doi:10.17678/beuscitech.47136.
Vancouver
1.Mehmet Kucukaslan, Mujde Yılmazturk. On strongly deferred Cesaro summability and deferred statistical convergence of the sequences. Bitlis Eren University Journal of Science and Technology. 2013 Jun. 1;3(1):22-5. doi:10.17678/beuscitech.47136