Research Article

Summability of spliced double sequences

Volume: 74 Number: 2 June 19, 2025
EN

Summability of spliced double sequences

Abstract

In this paper, we introduce spliced double sequences and give the summability of this new notion by using four dimensional matrices. Note that there are some examples which show the effectiveness of spliced double sequences in summability theory.

Keywords

References

  1. Bartoszewicz, A., Das, P., Gła̧b, S., On matrix summability of spliced sequences and A-density of points, Linear Algebra Appl., 487 (2015), 22–42. https://doi.org/10.1016/j.laa.2015.08.031.
  2. Bose, K., Das, P., Sengupta, S., On spliced sequences and the density of points with respect to a matrix constructed by using a weight function, Ukrainian Mathematical Journal, 71 (2020), 1359–1374. https://doi.org/10.1007/s11253-020-01720-1.
  3. Gökhan, A., Çolak, R., Mursaleen, M., Some matrix transformation and generalized core of double sequences, Mathematical and Computer Modelling, 49 (2009), 1721–1731. https://doi.org/10.1016/j.mcm.2008.12.002.
  4. Hamilton, H. J., Transformations of multiple sequences, Duke Mathematical Journal, 2 (1936), 29–60.
  5. Mursaleen, E., Osama, H. H., Statistical convergence of double sequences, J. Math. Anal. Appl., 288 (2003), 223–231.
  6. Osikiewicz, J. A., Summability of spliced sequences, Rocky Mountain J. Math., 35 (2005), 977–996.
  7. Patterson, R. F., Analogues of some fundamental theorems of summability theory, International Journal of Mathematics and Mathematical Sciences, 23 (2000), 1–9.
  8. Patterson, R. F., Lemma, M., Four dimensional matrix characterization of double oscillation via RH-conservative and RH-multiplicative matrices, Cent. Eur. J. Math., 6 (2008), 581–594. https://doi.org/10.2478/s11533-008-0043-7.

Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Publication Date

June 19, 2025

Submission Date

March 7, 2024

Acceptance Date

January 23, 2025

Published in Issue

Year 2025 Volume: 74 Number: 2

APA
Taş, E., & Demirkale, S. (2025). Summability of spliced double sequences. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 74(2), 191-199. https://doi.org/10.31801/cfsuasmas.1448617
AMA
1.Taş E, Demirkale S. Summability of spliced double sequences. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74(2):191-199. doi:10.31801/cfsuasmas.1448617
Chicago
Taş, Emre, and Sevcan Demirkale. 2025. “Summability of Spliced Double Sequences”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 (2): 191-99. https://doi.org/10.31801/cfsuasmas.1448617.
EndNote
Taş E, Demirkale S (June 1, 2025) Summability of spliced double sequences. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 2 191–199.
IEEE
[1]E. Taş and S. Demirkale, “Summability of spliced double sequences”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 74, no. 2, pp. 191–199, June 2025, doi: 10.31801/cfsuasmas.1448617.
ISNAD
Taş, Emre - Demirkale, Sevcan. “Summability of Spliced Double Sequences”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74/2 (June 1, 2025): 191-199. https://doi.org/10.31801/cfsuasmas.1448617.
JAMA
1.Taş E, Demirkale S. Summability of spliced double sequences. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74:191–199.
MLA
Taş, Emre, and Sevcan Demirkale. “Summability of Spliced Double Sequences”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 74, no. 2, June 2025, pp. 191-9, doi:10.31801/cfsuasmas.1448617.
Vancouver
1.Emre Taş, Sevcan Demirkale. Summability of spliced double sequences. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025 Jun. 1;74(2):191-9. doi:10.31801/cfsuasmas.1448617