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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2017 / Cilt: 17 - Sayı: 3

Lacunary 𝐈𝝈-Asymptotic Equivalence

Lacunary -Asimptotik Denklik

Uğur ULUSU
Pages
899–905
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Also, by giving relationships among these new type equivalence concepts, we talked about the relationship of these concepts with the concept of Savaş and Patterson (2006). -asymptotically equivalence which is studied bySavaş and Patterson (2006).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the concepts of lacunary -asymptotically equivalence, lacunary -asymptotically equivalence and strongly lacunary -asymptotically -equivalence for real number sequences are deŞned.
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Key Findings & Data:In this paper, the concepts of lacunary -asymptotically equivalence, lacunary -asymptotically equivalence and strongly lacunary -asymptotically -equivalence for real number sequences are deŞned.
💡
Conclusion & Impact:Also, by giving relationships among these new type equivalence concepts, we talked about the relationship of these concepts with the concept of Savaş and Patterson (2006). -asymptotically equivalence which is studied bySavaş and Patterson (2006).
🔬Design:Research Article
📍Scope:2006 Verileri
⚙️Variables:Domain Parameters

Abstract

In this paper, the concepts of lacunary -asymptotically equivalence, lacunary -asymptotically equivalence and strongly lacunary -asymptotically -equivalence for real number sequences are deŞned. Also, by giving relationships among these new type equivalence concepts, we talked about the relationship of these concepts with the concept of Savaş and Patterson (2006). -asymptotically equivalence which is studied bySavaş and Patterson (2006).

Özet

Bu çalışmada, reel sayı dizileri için lacunary -asimptotik denklik, lacunary -asimptotik denklik ve kuvvetli lacunary -asimptotik -denklik kavramları tanımlandı. Ayrıca, bu yeni denklik kavramları arasındaki ilişkiler verilerek, bu kavramların Savaş ve Patterson (2006) tarafından çalışılmış olan asimptotik denklik kavramı ile ilişkisinden bahsedildi

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Cite This Article

ULUSU, U. (2022). Lacunary 𝐈𝝈-Asymptotic Equivalence. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 17 - Sayı: 3, 899–905. https://ajindex.com/articles/430152

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References (2)

  1. Fast, H., 1951. Sur la convergence statistique. Colloquium Mathematicum, 2, 241--244. Fridy, J. A. and Orhan, C., 1993. Lacunary statistical convergence. Pacific Journal of Mathematics, 160(1), 43--51. Kostyrko, P., Macaj, M., Šalát, T. and Sleziak, M., 2005. 𝐈-Convergence and Extermal 𝐈-limits points. Mathematica Slovaca, 55, 443--464. Kostyrko, P., Šalát, T. and Wilczyński, W., 2000. 𝐈-Convergence. Real Analysis Exchange, 26(2), 669--686. Marouf, M., 1993. Asymptotic equivalence and summability. International Journal of Mathematics and Mathematical Sciences, 16(4), 755--762. Mursaleen, M., 1979. On finite matrices and invariant means. Indian Journal of Pure and Applied Mathematics, 10, 457--460. Mursaleen, M., 1983. Matrix transformation between some new sequence spaces. Houston Journal of Mathematics, 9, 505--509. Mursaleen, M. and Edely, O. H. H., 2009. On the invariant mean and statistical convergence. Applied Mathematics Letters, 22(11), 1700- -1704. Nuray, F. and Savaş, E., 1994. Invariant statistical convergence and 𝐴-invariant statistical convergence. Indian Journal of Pure and Applied Mathematics, 25(3), 267--274. Nuray, F., Gök, H. and Ulusu, U., 2011. 𝐈𝜎- convergence. Mathematical Communications, 16, 531--538. Pancaroğlu, N. and Nuray, F., 2013. Statistical lacunary invariant summability. Theoretical Mathematics and Applications, 3(2), 71--78. Patterson, R. F., 2003. On asymptotically statistically equivalent sequences. Demostratio Mathematica, 36(1), 149--153. Patterson, R. F. and Savaş, E., 2006. On asymptotically lacunary statistically equivalent sequences. Thai Journal of Mathematics, 4(2), 267--272. Raimi, R. A., 1963. Invariant means and invariant matrix methods of summability. Duke Mathematical Journal, 30(1), 81--94. Savaş, E., 1989a. Some sequence spaces involving invariant means. Indian Journal of Mathematics, 31, 1--8. Savaş, E., 1989b. Strongly 𝜎-convergent sequences. Bulletin of Calcutta Mathematical Society, 81, 295--300. Savaş, E., 2013. On 𝐈-asymptotically lacunary statistical equivalent sequences. Advances in Difference Equations, 111(2013), 7 pages. doi:10.1186/1687-1847-2013-111.
  2. Savaş, E. and Nuray, F., 1993. On 𝜎-statistically convergence and lacunary 𝜎-statistically convergence. Mathematica Slovaca, 43(3), 309--315. Savaş, E. and Patterson, R. F., 2006. 𝜎- asymptotically lacunary statistical equivalent sequences. Central European Journal of Mathematics, 4(4), 648--655. Savaş, R. and Başarır, M., 2006. (𝜎, 𝜆)- asymptoticall