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On lacunary p-absolutely summable fuzzy real-valued double sequence space

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this article, we introduce the class of p-absolutely summable fuzzy real valued double sequence (…). We have studied some algebraic properties like solid, symmetric, convergence free, sequence algebra. Further, we establish some relation with the class of p-Cesàro summable double sequences and some other important inclusion results.
Wydawca
Rocznik
Strony
652--661
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
  • Department of Mathematics, Pragjyotish College Guwahati, Assam, India
  • Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Baragaon Garchuk, Guwahati, India
autor
  • Department of Mathematics, Adiyaman University, Adiyaman, Turkey
  • Mathematical Sciences Division Institute of Advanced Study in Science and Technology, Paschim Baragaon Garchuk, Guwahati, India
Bibliografia
  • [1] Y. Altin, A note on lacunary statistically convergent double sequences of fuzzy numbers, Commun. Korean Math. Soc. 23(2) (2008), 179–185.
  • [2] A. J. Dutta, Lacunary p-absolutely summable sequences of fuzzy real numbers, Fasc. Math. 46 (2011), 57–64.
  • [3] A. Esi, On asymptotically double lacunary statistically equivalent sequences, Appl. Math. Lett. 22(12) (2009), 1781–1785.
  • [4] A. Gokhan, M. Et, M. Mursaleen, Almost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers, Math. Comput. Modelling 49(3-4) (2009), 548–555.
  • [5] J. S. Kwon, On statistical and p-Cesàro convergence of fuzzy numbers, Korean J. Comp. Appl. Math. 7(1) (2000), 195–203.
  • [6] E. Savas, R. F. Patterson, On double statistical P-convergence of fuzzy numbers, J. Inequal. Appl., ID 423792, (2009), 1-7.
  • [7] E. Savas, On some double lacunary sequence spaces of fuzzy numbers, Comput. Math. Appl. 15(3) (2010), 439–448.
  • [8] E. Savas, A note on double lacunary statistical σ-convergence of fuzzy numbers, Soft Comput. 16 (2012), 591–595.
  • [9] E. Savas, R. F. Patterson, Double sequence spaces characterized by lacunary sequences, Appl. Math. Lett. 20 (2007), 964–970.
  • [10] E. Savas, M. Mursaleen, On statistically convergent double sequences of fuzzy numbers, Inform. Sci. 162 (2004), 183–192.
  • [11] N. Subramanian, A. Esi, On lacunary almost statistical convergence of generalized difference sequences of fuzzy numbers, Int. J. Fuzzy Sys. 11(1) (2009), 44–48.
  • [12] O. Talo, F. Basar, On the space bvp(F) of sequences of p-bounded variation of fuzzy numbers, Acta Math. Sinica (English Ser.) 24(7) (2008), 1205–1212.
  • [13] B. C. Tripathy, A. J. Dutta, Statistically convergent and Cesàro summable double sequences of fuzzy real numbers, Soochow J. Math. 33(4) (2007), 835–848.
  • [14] B. C. Tripathy, A. J. Dutta, On fuzzy real-valued double sequence space 2lpF, Math. Comput. Modelling 46 (2007), 1294–1299.
  • [15] B. C. Tripathy, A. J. Dutta, Bounded variation double sequence space of fuzzy real numbers, Comput. Math. Appl. 59 (2010), 1031–1037.
  • [16] B. C. Tripathy, H. Dutta, On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence, An. Ştiinţ. Univ. Ovidius Constanţa Ser. Mat. 20(1) (2012), 417–430.
  • [17] B. C. Tripathy, S. Mahanta, On a class of generalized lacunary difference sequence spaces defined by Orlicz function, Acta Math. Appl. Sinica (English Ser.) 20(2) (2004), 231–238.
  • [18] B. C. Tripathy, A. Baruah, Lacunary statistically convergent and lacunary strongly convergent generalized difference sequences of fuzzy real numbers, Kyungpook Math. J. 50(4) (2010), 565–574.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-14f9d0b0-1ce4-47da-89fb-699d28e7fe2b
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