Dergiler / Konuralp Journal of Mathematics / 2022 / Cilt: 10 - Sayı: 1

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

Sayfa
87–91
Yayın Tarihi
2022-04-15
DOI
—
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Furthermore, we investigate the relationships of these concepts and give some results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:Furthermore, we investigate the relationships of these concepts and give some results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lacunary Statistical convergence · Statistical convergence · Strong summability

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.

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Bu Makaleye Atıf Yap

SÖZBİR, B., ALTUNDAĞ, S. (2022). On Statistical Convergence and Lacunary Statistical Convergence of Weight $g$ on Time Scales. Konuralp Journal of Mathematics, Cilt: 10 - Sayı: 1, 87–91. https://ajindex.com/articles/786352

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Kaynakça (19)

  1. Y. Altin, H. Koyunbakan and E. Yilmaz, Uniform statistical convergence on time scales, J. Appl. Math., 2014 (2014), 1–6
  2. Y. Altin, B.N. Er and E. Yilmaz, Dl -Statistical boundedness on time scales, Communications in Statistics-Theory and Methods, 50(3) (2021), 738–746
  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. M. Bohner and A. Peterson, Dynamic equations on time scales: An introduction with applications, Birkh¨auser, Boston, 2001
  5. D. Borwein, Linear functionals with strong Ces´aro Summability, J. Lond. Math. Soc., 40 (1965), 628–634
  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. J.S. Connor, The statistical and strong p-Ces`aro convergence of sequences, Analysis, 8 (1988), 47–63
  8. H. Fast, Sur la convergence statistique, Colloq. Math., 2 (1951), 241–244
  9. A.R. Freedman, J.J. Sember and M. Raphael, Some Ces`aro-type summability spaces, Proc. Lond. Math. Soc., 37(3) (1978), 508–520
  10. J.A. Fridy, On statistical convergence, Analysis, 5 (1985), 301–313
  11. J.A. Fridy and C. Orhan, Lacunary statistical convergence, Pacific J. Math., 160 (1993), 43–51
  12. G.S. Guseinov, Integration on time scales, J. Math. Anal. Appl., 285(1) (2003), 107–127
  13. S. Hilger, Analysis on measure chains-a unified approach to continuous and discrete calculus, Results Math., 18(1-2) (1990), 18–56
  14. F. M´oricz, Statistical limits of measurable functions, Analysis, 24(1) (2004), 1–18
  15. M. Mursaleen, l-statistical convergence, Math. Slovaca, 50(1) (2000), 111–115
  16. E. Savas and P. Das, On I-statistical and I-lacunary statistical convergence of weight g, Bull. Math. Anal. Appl., 11(2) (2019), 2–11
  17. E. Savas¸ and R. Savas¸, On Generalized Statistical Convergence and Strongly Summable Functions of Weight g, In: Roy P., Cao X., Li XZ., Das P., Deo S. (eds) Mathematical Analysis and Applications in Modeling. ICMAAM 2018. Springer Proceedings in Mathematics & Statistics, vol 302. Springer, Singapore, 2020. https://doi.org/10.1007/978-981-15-0422-8 11
  18. I.J. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66 (1959), 361–375
  19. M.S. Seyyidoglu and N.O. Tan, A note on statistical convergence on time scale, J.