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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2020 / Cilt: 10 - Sayı: 1

WEIGHTED STATISTICAL CONVERGENCE OF ORDER α IN PARANORMED SPACES

Mikail ET
Murat KARAKAŞ
Muhammed ÇINAR
Pages
47–52
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also some relations between weighted statistical convergence of order α and N, pn, gαr−summability are given

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we introduce and examine the concept of weighted statistical convergence of order α in paranormed spaces.
📊
Key Findings & Data:In this study, we introduce and examine the concept of weighted statistical convergence of order α in paranormed spaces.
💡
Conclusion & Impact:Also some relations between weighted statistical convergence of order α and N, pn, gαr−summability are given
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In this study, we introduce and examine the concept of weighted statistical convergence of order α in paranormed spaces. Also some relations between weighted statistical convergence of order α and N, pn, gαr−summability are given

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Cite This Article

ET, M., KARAKAŞ, M., ÇINAR, M. (2020). WEIGHTED STATISTICAL CONVERGENCE OF ORDER α IN PARANORMED SPACES. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, Cilt: 10 - Sayı: 1, 47–52. https://ajindex.com/articles/327596

References (4)

  1. Alotaibi, A. and Alroqi, A. M., (2012), Statistical convergence in a paranormed space, J. Inequal. Appl., 39, pp. 1-6 [2] Alghamdi, M. A. and Mursaleen, M., (2013), λ−statistical convergence in paranormed space, Abstr. Appl. Anal., Art. ID 264520, pp. 1-5 [3] Arani, F.A., Gordji, M.E. and Soraya, T., (2014), Statistical convergence of double sequence in paranormed spaces, J. Math. Computer Sci. 10, pp. 47-53. [4] Aasma, A, Dutta, H. and Natarajan, P.N., (2017), An Introductory Course in Summability Theory, 1st ed., John Wiley & Sons, Inc. Hoboken, USA [5] Cinar, M., Karakas, M. and Et, M., (2013), On pointwise and uniform statistical convergence of order α for sequences of functions, Fixed Point Theory Appl., 33, pp. 1-11. [6] Colak, R., (2010), Statistical convergence of order α, Modern Methods in Analysis and its Applications, Anamaya Publ. New Delhi, India, pp. 121-129. [7] Connor, J.S., (1988),The statistical and strong p−Ces`aro convergence of sequences, Analysis 8, pp. 47-63. [8] Dutta, H. and Rhoades, B.E. (Eds.), (2016), Current Topics in Summability Theory and Applications, 1st ed., Springer, Singapore. [9] Ercan, S., (2018), On the statistical convergence of order α in paranormed space, Symmetry, 10, pp. 1-9. [10] Et, M., Alotaibi A. and Mohiuddine, S.A., (2014), On (∆m, I)−statistical convergence of order α, Sci. World J., Art. Id. 535419, pp. 1-5. [11] Et, M., Tripathy, B.C. and Dutta, A.J., (2014), On pointwise statistical convergence of order α of sequences of fuzzy mappings, Kuwait J. Sci., 41, pp. 17-30. [12] Et, M., C¸ olak R. and Altın, Y., (2014), Strongly almost summable sequences of order α, Kuwait J. Sci. 41, pp. 35-47. [13] Fast, H., (1951),
  2. Sur la convergence statistique, Colloq. Math., pp. 241-244. [14] Fridy, J.A., (1985),
  3. On statistical convergence, Analysis, 5, pp. 301-313. [15] Ghosal, S., (2016), Weighted statistical convergence of order α and its applications, J. Egyptian Math. Soc., 24, pp. 60–67. [16] I¸sık, M. and Akba¸s, K. E., (2017), On λ−statistical convergence of order α in probability, J. Inequal. Spec. Funct., 8, pp. 57-64. [17] I¸sık, M. and Akba¸s, K.E., (2017), On asymptotically lacunary statistical equivalent sequences of order α in probability, ITM Web of Conferences 13, 01024, pp. 1-5. [18] Karakaya, V. and Chishti, T.A., (2009),
  4. Weighted statistical convergence, Iran. J. Sci. Technol. Trans. A Sci., 33, pp. 219-2 [19] Mursaleen, M., (2000), λ−statistical convergence, Math. Slovaca, 50, pp. 111-115. [20] M