Skip to main content
Erschienen in: Soft Computing 6/2012

01.06.2012 | Original Paper

On the class of λ-statistically convergent difference sequences of fuzzy numbers

verfasst von: Hifsi Altinok, Rifat Çolak, Yavuz Altin

Erschienen in: Soft Computing | Ausgabe 6/2012

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this study, we introduce the sets \(\left[ V,\lambda ,p\right] _{\Updelta }^{{\mathcal{F}}},\left[ C,1,p\right] _{\Updelta }^{{\mathcal{F}}}\) and examine their relations with the classes of \( S_{\lambda }\left( \Updelta ,{\mathcal{F}}\right)\) and \( S_{\mu }\left( \Updelta ,{\mathcal{F}}\right)\) of sequences for the sequences \(\left( \lambda _{n}\right)\) and \(\left( \mu _{n}\right) , 0<p<\infty \) and difference sequences of fuzzy numbers.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Altinok H, Çolak R, Et M (2009) λ-Difference sequence spaces of fuzzy numbers. Fuzzy Sets Syst 160(21):3128–3139MATHCrossRef Altinok H, Çolak R, Et M (2009) λ-Difference sequence spaces of fuzzy numbers. Fuzzy Sets Syst 160(21):3128–3139MATHCrossRef
Zurück zum Zitat Aytar S, Pehlivan S (2007) Statistically convergence of sequences of fuzzy numbers and sequences of α-cuts. Int J Gen Syst 1–7 Aytar S, Pehlivan S (2007) Statistically convergence of sequences of fuzzy numbers and sequences of α-cuts. Int J Gen Syst 1–7
Zurück zum Zitat Başar F, Altay B (2003) On the space of sequences of p-bounded variation and related matrix mappings. Ukrainian Math J 55(1):136–147MathSciNetCrossRef Başar F, Altay B (2003) On the space of sequences of p-bounded variation and related matrix mappings. Ukrainian Math J 55(1):136–147MathSciNetCrossRef
Zurück zum Zitat Colak R, Altin Y, Mursaleen M (2011) On some sets of difference sequences of fuzzy numbers. Soft Comput 15(4):787–793CrossRef Colak R, Altin Y, Mursaleen M (2011) On some sets of difference sequences of fuzzy numbers. Soft Comput 15(4):787–793CrossRef
Zurück zum Zitat Çolak R (2011) On λ-statistical convergence. Conference on summability and applications, Commerce University, May 12–13, 2011, Istanbul, Turkey Çolak R (2011) On λ-statistical convergence. Conference on summability and applications, Commerce University, May 12–13, 2011, Istanbul, Turkey
Zurück zum Zitat Connor JS (1988) The statistical and strong p-Cesaro convergence of sequences. Analysis 8:47–63MathSciNetMATH Connor JS (1988) The statistical and strong p-Cesaro convergence of sequences. Analysis 8:47–63MathSciNetMATH
Zurück zum Zitat Et M, Çolak R (1995) On some generalized difference sequence spaces. Soochow J Math 21(4):377–386MathSciNetMATH Et M, Çolak R (1995) On some generalized difference sequence spaces. Soochow J Math 21(4):377–386MathSciNetMATH
Zurück zum Zitat Et M, Altin Y, Choudhary B, Tripathy BC (2006) On some classes of sequences defined by sequences of Orlicz functions. Math Inequal Appl 9(2):335–342MathSciNetMATHCrossRef Et M, Altin Y, Choudhary B, Tripathy BC (2006) On some classes of sequences defined by sequences of Orlicz functions. Math Inequal Appl 9(2):335–342MathSciNetMATHCrossRef
Zurück zum Zitat Kızmaz H (1985) On certain sequence spaces. Can Math Bull 24(2):169–176CrossRef Kızmaz H (1985) On certain sequence spaces. Can Math Bull 24(2):169–176CrossRef
Zurück zum Zitat Kwon JS (2000) On statistical and p-Cesàro convergence of fuzzy numbers. Korean J Comput Appl Math 7(1):195–203MathSciNetMATH Kwon JS (2000) On statistical and p-Cesàro convergence of fuzzy numbers. Korean J Comput Appl Math 7(1):195–203MathSciNetMATH
Zurück zum Zitat Leindler L (1965) Über die de la Vallée-Pousinsche Summierbarkeit allgemeiner Orthogonalreihen. Acta Math Acad Sci Hungar 16:375–387MathSciNetMATHCrossRef Leindler L (1965) Über die de la Vallée-Pousinsche Summierbarkeit allgemeiner Orthogonalreihen. Acta Math Acad Sci Hungar 16:375–387MathSciNetMATHCrossRef
Zurück zum Zitat Matloka M (1986) Sequences of fuzzy numbers. BUSEFAL 28:28–37MATH Matloka M (1986) Sequences of fuzzy numbers. BUSEFAL 28:28–37MATH
Zurück zum Zitat Nuray F, Savaş E (1995) Statistical convergence of sequences of fuzzy real numbers. Math Slovaca 45(3):269–273MathSciNetMATH Nuray F, Savaş E (1995) Statistical convergence of sequences of fuzzy real numbers. Math Slovaca 45(3):269–273MathSciNetMATH
Zurück zum Zitat Šalát T (1980) On statistically convergent sequences of real numbers. Math Slovaca 30:139–150MathSciNetMATH Šalát T (1980) On statistically convergent sequences of real numbers. Math Slovaca 30:139–150MathSciNetMATH
Zurück zum Zitat Savaş E (2000) Strong almost convergence and almost λ-statistical convergence. Hokkaido Math J 29(3):531–536MathSciNetMATH Savaş E (2000) Strong almost convergence and almost λ-statistical convergence. Hokkaido Math J 29(3):531–536MathSciNetMATH
Zurück zum Zitat Steinhaus H (1951) Sur la convergence ordinaire et la convergence asymptotique. Colloquium Mathematicum 2:73–74MathSciNet Steinhaus H (1951) Sur la convergence ordinaire et la convergence asymptotique. Colloquium Mathematicum 2:73–74MathSciNet
Zurück zum Zitat Tripathy BC (2004) On generalized difference paranormed statistically convergent sequences. Indian J Pure Appl Math 35(5):655–663MathSciNetMATH Tripathy BC (2004) On generalized difference paranormed statistically convergent sequences. Indian J Pure Appl Math 35(5):655–663MathSciNetMATH
Zurück zum Zitat Tripathy BC, Baruah A (2010b) Lacunary statistically convergent and lacunary strongly convergent generalized difference sequences of fuzzy real numbers. Kyungpook Math J 50:565–574MathSciNetMATH Tripathy BC, Baruah A (2010b) Lacunary statistically convergent and lacunary strongly convergent generalized difference sequences of fuzzy real numbers. Kyungpook Math J 50:565–574MathSciNetMATH
Zurück zum Zitat Tripathy BC, Chandra P (2011) On some generalized difference paranormed sequence spaces associated with multiplier sequences defined by modulus function. Anal Theory Appl 27(1):21–27MathSciNetCrossRef Tripathy BC, Chandra P (2011) On some generalized difference paranormed sequence spaces associated with multiplier sequences defined by modulus function. Anal Theory Appl 27(1):21–27MathSciNetCrossRef
Zurück zum Zitat Tripathy BC, Dutta AJ (2007) On fuzzy real-valued double sequence spaces \(_{2}l_{{\mathcal{F}}}^{p}\). Math Comput Model 46(9–10):1294–1299 Tripathy BC, Dutta AJ (2007) On fuzzy real-valued double sequence spaces \(_{2}l_{{\mathcal{F}}}^{p}\). Math Comput Model 46(9–10):1294–1299
Zurück zum Zitat Tripathy BC, Altin Y, Et M (2008a) Generalized difference sequences spaces on seminormed spaces defined by Orlicz functions. Math Slovaca 58(3):315–324MathSciNetMATHCrossRef Tripathy BC, Altin Y, Et M (2008a) Generalized difference sequences spaces on seminormed spaces defined by Orlicz functions. Math Slovaca 58(3):315–324MathSciNetMATHCrossRef
Zurück zum Zitat Tripathy BC, Choudhary B, Sarma B (2008b) On some new type generalized differences sequence spaces. Kyungpook Math J 48(4):613–622MathSciNetMATH Tripathy BC, Choudhary B, Sarma B (2008b) On some new type generalized differences sequence spaces. Kyungpook Math J 48(4):613–622MathSciNetMATH
Metadaten
Titel
On the class of λ-statistically convergent difference sequences of fuzzy numbers
verfasst von
Hifsi Altinok
Rifat Çolak
Yavuz Altin
Publikationsdatum
01.06.2012
Verlag
Springer-Verlag
Erschienen in
Soft Computing / Ausgabe 6/2012
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-011-0800-6

Weitere Artikel der Ausgabe 6/2012

Soft Computing 6/2012 Zur Ausgabe