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Soft Computing
Erschienen in: Soft Computing 15/2019

12.10.2018 | Foundations

Statistical convergence of order \(\left( \beta ,\gamma \right) \) for sequences of fuzzy numbers

verfasst von: Hifsi Altinok, Mikail Et

Erschienen in: Soft Computing | Ausgabe 15/2019

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Abstract

The concepts of statistical convergence and strong p-Cesaro summability of sequences of real numbers were introduced in literature independently, and it was shown that if a sequence is strongly p-Cesaro summable, then it is statistically convergent and also a bounded statistically convergent sequence must be p-Cesaro summable. In the present paper, two new concepts named statistical convergence of order \(\left( \beta ,\gamma \right) \) and strongly p-Cesàro summability of order \(\left( \beta ,\gamma \right) \) are introduced for sequences of fuzzy numbers, where \(\alpha \) and \(\beta \) real numbers such that \(0<\alpha \le \beta \le 1\) and some relations between statistical convergence of order \(\left( \beta ,\gamma \right) \) and strongly p-Cesàro summability of order \(\left( \beta ,\gamma \right) \) are given. Furthermore, it is shown that a bounded and statistically convergent sequence of fuzzy numbers need not strongly p-Cesàro summable of order \(\left( \beta ,\gamma \right) \) in general for \(0<\beta \le \gamma \le 1\).
Vorheriger Artikel Some inequalities for interval-valued functions on time scales
Nächster Artikel Opposition-based moth flame optimization with Cauchy mutation and evolutionary boundary constraint handling for global optimization

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Literatur
Altin Y, Altinok H, Çolak R (2015) Statistical convergence of order \(\alpha \) for difference sequences. Quaest Math 38(4):505–514MathSciNetCrossRefMATH
Altinok H, Altin Y, Işık M (2012) Statistical convergence and strong \(p\)-Cesàro summability of order \(\beta \) in sequences of fuzzy numbers. Iran J Fuzzy Syst 9(2):65–75MATH
Altinok H (2014) Statistical convergence of order \(\beta \) for generalized difference sequences of fuzzy numbers. J Intell Fuzzy Syst 26:847–856MathSciNetMATH
Altinok H, Et M (2015) On \(\lambda \)-statistical boundedness of order \(\beta \) of sequences of fuzzy numbers. Soft Comput 19(8):2095–2100CrossRefMATH
Aytar S, Pehlivan S (2008) Statistical convergence of sequences of fuzzy numbers and sequences of \(\alpha \)-cuts. Int J Gen Syst 37(2):231–237MathSciNetCrossRefMATH
Çakallı H (1996) On statistical convergence in topological groups. Pure Appl Math Sci 43:27–31MathSciNetMATH
Caserta A, Maio GD, Kočinac LDR (2011) Statistical convergence in function spaces. Abstr Appl Anal 11 Article ID:420419
Cinar M, Karakas M, Et M (2013) On pointwise and uniform statistical convergence of order \(\alpha \) for sequences of functions. Fixed Point Theory Appl Article ID:33
Çolak R (2010) Statistical convergence of order \(\alpha \). Modern methods in analysis and its applications. Anamaya Pub, New Delhi, pp 121–129
Et M, Sengul H (2014) Some Cesaro-type summability spaces of order \(\alpha \) and Lacunary statistical convergence of order \(\alpha \). FILOMAT 28(8):1593–1602MathSciNetCrossRefMATH
Et M, Altinok H, Altin Y (2004) On some generalized sequence spaces. Appl Math Comput 154(1):167–173MathSciNetMATH
Et M, Colak R, Altin Y (2014) Strongly almost summable sequences of order \(\alpha \). Kuwait J Sci 41(2):35–47MathSciNetMATH
Et M, Tripathy BC, Dutta AJ (2014) On pointwise statistical convergence of order \(\alpha \) of sequences of fuzzy mappings. Kuwait J Sci 41(3):17–30MathSciNetMATH
Et M, Savaş E, Altınok H (2016) On some difference sequence spaces of fuzzy numbers. Soft Comput 20:4395–4401CrossRefMATH
Karakaş A, Altın Y, Altınok H (2016) Almost statistical convergence of order \(\beta \) of sequences of fuzzy numbers. Soft Comput 20:3611–3616CrossRefMATH
Matloka M (1986) Sequences of fuzzy numbers. BUSEFAL 28:28–37MATH
Mursaleen M, Mohiuddine SA (2009) On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space. J Comput Appl Math 233(2):142–149MathSciNetCrossRefMATH
Nuray F, Savaş E (1995) Statistical convergence of sequences of fuzzy real numbers. Math Slovaca 45(3):269–273MathSciNetMATH
Šalát T (1980) On statistically convergent sequences of real numbers. Math Slovaca 30:139–150MathSciNetMATH
Tripathy BC, Baruah A (2010) Lacunary statistically convergent and lacunary strongly convergent generalized difference sequences of fuzzy real numbers. Kyungpook Math J 50:565–574MathSciNetCrossRefMATH
Metadaten
Titel
Statistical convergence of order for sequences of fuzzy numbers
verfasst von
Hifsi Altinok
Mikail Et
Publikationsdatum
12.10.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 15/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3569-z

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