Research Article
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Year 2023, , 192 - 197, 25.10.2023
https://doi.org/10.36753/mathenot.1200018

Abstract

References

  • [1] Phu, H. X.:Rough convergence in normed linear spaces. Numerical Functional Analysis and Optimization. 22, 201-224 (2001).
  • [2] Phu, H. X.:Rough convergence in infinite dimensional normed spaces. Numerical Functional Analysis and Optimization. 24, 285-301 (2003).
  • [3] Aytar, S.: Rough statistical convergence. Numerical Functional Analysis and Optimization. 29 (3-4), 291-303 (2008).
  • [4] Dündar, E., Çakan, C.: Rough I-convergence. Demonstratio Mathematica. 47 (3), 638-651 (2014).
  • [5] Pal, S. K., Chandra, D., Dutta, S.: Rough ideal convergence. Hacettepe Journal of Mathematics and Statistics. 42(6), 633-640 (2013).
  • [6] Malik, P., Maity, M.: On rough statistical convergence of double sequences in normed linear spaces. Afrika Matematika. 27, 141-148 (2016).
  • [7] Ki¸si, Ö., Dündar, E.: Rough I2-lacunary statistical convergence of double sequences. Journal of Inequalities and Applications. 2018, 230 (2018).
  • [8] Debnath, S., Rakshit, D.: Rough convergence in metric spaces. In: New Trends in Analysis and Interdisciplinary Applications. 449-454 (2017).
  • [9] Arslan, M., Dündar, E.: On rough convergence in 2-normed spaces and some properties. Filomat. 33 (16), 5077-5086 (2019).
  • [10] Dündar, E., Ulusu, U.: On rough convergence in amenable semigroups and some properties. Journal of Intelligent & Fuzzy Systems. 41, 2319-2324 (2021).
  • [11] Ki¸si, Ö., Dündar, E.: Rough I-statistical convergence. Journal of Applied Mathematics & Informatics. 40 (3-4), 619-632 (2022).
  • [12] Ölmez, Ö., Akçay, F. G., Aytar, S.: On the rough convergence of a sequence of sets. Electronic Journal of Mathematical Analysis and Applications. 10 (1), 167-174 (2022).
  • [13] Subramanian, N., Esi, A.: Wijsman rough convergence of triple sequences. Matematychni Studii. 48, 171-179 (2017).
  • [14] Powell, R. E., Shah, S. M.:Summability theory and applications. Van Nostrand Reinhold. London (1972).

A Note on Rough Abel Convergence

Year 2023, , 192 - 197, 25.10.2023
https://doi.org/10.36753/mathenot.1200018

Abstract

In this paper, we define a new type of Abel convergence by using the rough convergence of a sequence. We also obtained some results for this convergence.

References

  • [1] Phu, H. X.:Rough convergence in normed linear spaces. Numerical Functional Analysis and Optimization. 22, 201-224 (2001).
  • [2] Phu, H. X.:Rough convergence in infinite dimensional normed spaces. Numerical Functional Analysis and Optimization. 24, 285-301 (2003).
  • [3] Aytar, S.: Rough statistical convergence. Numerical Functional Analysis and Optimization. 29 (3-4), 291-303 (2008).
  • [4] Dündar, E., Çakan, C.: Rough I-convergence. Demonstratio Mathematica. 47 (3), 638-651 (2014).
  • [5] Pal, S. K., Chandra, D., Dutta, S.: Rough ideal convergence. Hacettepe Journal of Mathematics and Statistics. 42(6), 633-640 (2013).
  • [6] Malik, P., Maity, M.: On rough statistical convergence of double sequences in normed linear spaces. Afrika Matematika. 27, 141-148 (2016).
  • [7] Ki¸si, Ö., Dündar, E.: Rough I2-lacunary statistical convergence of double sequences. Journal of Inequalities and Applications. 2018, 230 (2018).
  • [8] Debnath, S., Rakshit, D.: Rough convergence in metric spaces. In: New Trends in Analysis and Interdisciplinary Applications. 449-454 (2017).
  • [9] Arslan, M., Dündar, E.: On rough convergence in 2-normed spaces and some properties. Filomat. 33 (16), 5077-5086 (2019).
  • [10] Dündar, E., Ulusu, U.: On rough convergence in amenable semigroups and some properties. Journal of Intelligent & Fuzzy Systems. 41, 2319-2324 (2021).
  • [11] Ki¸si, Ö., Dündar, E.: Rough I-statistical convergence. Journal of Applied Mathematics & Informatics. 40 (3-4), 619-632 (2022).
  • [12] Ölmez, Ö., Akçay, F. G., Aytar, S.: On the rough convergence of a sequence of sets. Electronic Journal of Mathematical Analysis and Applications. 10 (1), 167-174 (2022).
  • [13] Subramanian, N., Esi, A.: Wijsman rough convergence of triple sequences. Matematychni Studii. 48, 171-179 (2017).
  • [14] Powell, R. E., Shah, S. M.:Summability theory and applications. Van Nostrand Reinhold. London (1972).
There are 14 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Öznur Ölmez 0000-0001-6563-8732

Ulas Yamanci 0000-0002-4709-0993

Early Pub Date August 8, 2023
Publication Date October 25, 2023
Submission Date November 6, 2022
Acceptance Date December 5, 2022
Published in Issue Year 2023

Cite

APA Ölmez, Ö., & Yamanci, U. (2023). A Note on Rough Abel Convergence. Mathematical Sciences and Applications E-Notes, 11(4), 192-197. https://doi.org/10.36753/mathenot.1200018
AMA Ölmez Ö, Yamanci U. A Note on Rough Abel Convergence. Math. Sci. Appl. E-Notes. October 2023;11(4):192-197. doi:10.36753/mathenot.1200018
Chicago Ölmez, Öznur, and Ulas Yamanci. “A Note on Rough Abel Convergence”. Mathematical Sciences and Applications E-Notes 11, no. 4 (October 2023): 192-97. https://doi.org/10.36753/mathenot.1200018.
EndNote Ölmez Ö, Yamanci U (October 1, 2023) A Note on Rough Abel Convergence. Mathematical Sciences and Applications E-Notes 11 4 192–197.
IEEE Ö. Ölmez and U. Yamanci, “A Note on Rough Abel Convergence”, Math. Sci. Appl. E-Notes, vol. 11, no. 4, pp. 192–197, 2023, doi: 10.36753/mathenot.1200018.
ISNAD Ölmez, Öznur - Yamanci, Ulas. “A Note on Rough Abel Convergence”. Mathematical Sciences and Applications E-Notes 11/4 (October 2023), 192-197. https://doi.org/10.36753/mathenot.1200018.
JAMA Ölmez Ö, Yamanci U. A Note on Rough Abel Convergence. Math. Sci. Appl. E-Notes. 2023;11:192–197.
MLA Ölmez, Öznur and Ulas Yamanci. “A Note on Rough Abel Convergence”. Mathematical Sciences and Applications E-Notes, vol. 11, no. 4, 2023, pp. 192-7, doi:10.36753/mathenot.1200018.
Vancouver Ölmez Ö, Yamanci U. A Note on Rough Abel Convergence. Math. Sci. Appl. E-Notes. 2023;11(4):192-7.

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