Research Article

On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales

Volume: 10 Number: 1 April 15, 2022
EN

On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales

Abstract

The aim of this paper is to present new notions, namely, statistical convergence and lacunary statistical convergence and strong lacunary summability of weight on time scales. Furthermore, we investigate the relationships of these concepts and give some results.

Keywords

References

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  3. [3] M. Balcerzak, P. Das, M. Filipczak and J. Swaczyna, Generalized kinds of density and the associated ideals, Acta Math. Hungar., 147(1) (2015), 97–115.
  4. [4] M. Bohner and A. Peterson, Dynamic equations on time scales: An introduction with applications, Birkh¨auser, Boston, 2001.
  5. [5] D. Borwein, Linear functionals with strong Ces´aro Summability, J. Lond. Math. Soc., 40 (1965), 628–634.
  6. [6] A. Cabada and D.R. Vivero, Expression of the Lebesgue D-integral on time scales as a usual Lebesgue integral: Application to the calculus of D-antiderivatives, Math. Comput. Model., 43(1-2) (2006), 194–207.
  7. [7] J.S. Connor, The statistical and strong p-Ces`aro convergence of sequences, Analysis, 8 (1988), 47–63.
  8. [8] H. Fast, Sur la convergence statistique, Colloq. Math., 2 (1951), 241–244.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

April 15, 2022

Submission Date

August 18, 2021

Acceptance Date

November 18, 2021

Published in Issue

Year 2022 Volume: 10 Number: 1

APA
Sözbir, B., & Altundağ, S. (2022). On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp Journal of Mathematics, 10(1), 87-91. https://izlik.org/JA66JW22GP
AMA
1.Sözbir B, Altundağ S. On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp J. Math. 2022;10(1):87-91. https://izlik.org/JA66JW22GP
Chicago
Sözbir, Bayram, and Selma Altundağ. 2022. “On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales”. Konuralp Journal of Mathematics 10 (1): 87-91. https://izlik.org/JA66JW22GP.
EndNote
Sözbir B, Altundağ S (April 1, 2022) On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp Journal of Mathematics 10 1 87–91.
IEEE
[1]B. Sözbir and S. Altundağ, “On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales”, Konuralp J. Math., vol. 10, no. 1, pp. 87–91, Apr. 2022, [Online]. Available: https://izlik.org/JA66JW22GP
ISNAD
Sözbir, Bayram - Altundağ, Selma. “On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 87-91. https://izlik.org/JA66JW22GP.
JAMA
1.Sözbir B, Altundağ S. On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp J. Math. 2022;10:87–91.
MLA
Sözbir, Bayram, and Selma Altundağ. “On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 87-91, https://izlik.org/JA66JW22GP.
Vancouver
1.Bayram Sözbir, Selma Altundağ. On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):87-91. Available from: https://izlik.org/JA66JW22GP
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