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Tytuł artykułu

Some triple difference rough Cesàro and lacunary statistical sequence spaces

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We generalized the concepts in probability of rough Cesàro and lacunary statistical by introducing the difference operator Δ[αγ] of fractional order, where α is a proper fraction and γ = (γmnk) is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence θ and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of related with triple difference sequence spaces. The main focus of the present paper is to generalized rough Cesaro and lacunary statistical of triple difference sequence spaces and investigate their topological structures as well as some inclusion concerning the operator Δ[αγ].
Rocznik
Tom
Strony
81--93
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
  • Department of Mathematics, Adiyaman University, 02040 Adiyaman, Turkey
  • Department of Mathematics, SASTRA University, Thanjavur-613 401, India
Bibliografia
  • [1] A. Esi, On some triple almost lacunary sequence spaces defined by Orlicz functions, Research and Reviews: Discrete Mathematical Structures 1 (2) (2014) 16-25.
  • [2] A. Esi, M. Necdet Catalbas, Almost convergence of triple sequences, Global Journal of Mathematical Analysis 2 (1) (2014) 6-10.
  • [3] A. Esi, E. Savas, On lacunary statistically convergent triple sequences in probabilistic normed space, Appl. Math. and Inf. Sci. 9 (5) (2015) 2529-2534.
  • [4] A.J. Dutta, A. Esi, B.C. Tripathy, Statistically convergent triple sequence spaces defined by Orlicz function, Journal of Mathematical Analysis 4 (2) (2013) 16-22.
  • [5] S. Debnath, B. Sarma, B.C. Das, Some generalized triple sequence spaces of real numbers, Journal of Nonlinear Analysis and Optimization 6 (1) (2015) 71-79.
  • [6] H. Kizmaz, On certain sequence spaces, Canadian Mathematical Bulletin 24 (2) (1981) 169-176.
  • [7] P.K. Kamthan, M. Gupta, Sequence Spaces and Series, Lecture Notes, Pure and Applied Mathematics, 65 Marcel Dekker Inc. New York, 1981.
  • [8] J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971) 379-390.
  • [9] J. Musielak, Orlicz Spaces, Lectures Notes in Math., 1034, Springer-Verlag, 1983.
  • [10] A. Sahiner, M. Gurdal, F.K. Duden, Triple sequences and their statistical convergence, Selcuk J. Appl. Math. 8 (2) (2007) 49-55.
  • [11] A. Sahiner, B.C. Tripathy, Some I-related properties of triple sequences, Selcuk J. Appl. Math. 9 No. (2) (2008) 9-18.
  • [12] N. Subramanian, A. Esi, The generalized tripled difference of X³ sequence spaces, Global Journal of Mathematical Analysis 3 (2) (2015) 54-60.
  • [13] A. Esi, N. Subramanian, The triple sequence spaces of X³ on rough statistical convergence defined by Musielak Orlicz function of p-metric, Asian Journal of Mathematical Sciences 1 (1) (2017) 19-25.
  • [14] N. Subramanian, A. Esi, M.K. Ozdemir, Some new triple intuitionistic sequence spaces of fuzzy numbers defined by Musielak-Orlicz function, J. Assam Acad. Math. 7 (2017) 14-27.
  • [15] A. Esi, N. Subramanian, A. Esi, Triple rough statistical convergence of sequence of Bernstein operators, Int. J. Adv. Appl. Sci. 4 (2) (2017) 28-34.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4a27ee76-695d-4332-906a-4aef7c736ad6
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