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Research Article

On the sequence spaces involving bell numbers

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References

  • Bell ET. Exponential numbers. Am Math Month. 1934;41:411–419.
  • Graham RL, Knuth DE, Patashnik O. Concrete mathematics. 2nd ed. Massachusetts: Addison-Wesley; 1994.
  • Spivey MZ. A generalized recurrence for Bell numbers. J. Integer Sequences. 2008;11, Article 08.2.5.
  • Kara EE. Some topological and geometrical properties of new Banach sequence spaces. J Inequal Appl. 2013;38:581–591.
  • Karakas M, Karakas AM. A study on Lucas difference sequence spaces lp(Ê(r,s)) and l∞(Ê(r,s)). Maejo Int J Sci Tech. 2018;12:70–78.
  • Karakas AM, Karakas M. A new BK-space defined by regular matrix of Lucas numbers. J Interdiscip Math. 2019;22:837–847.
  • Yaying T, Hazarika B, Mohiuddine SA. On difference sequence spaces of fractional order involving Padovan numbers. Asian-Eur J Math. 2021;14:2150095.
  • İlkhan Kara M, Kara EE. Matrix transformations and compact operators on Catalan sequence spaces. J Math Anal Appl. 2021;498:124925.
  • Başar F. Summability theory and its applications. İstanbul: Bentham Science Publishers; 2012.
  • Stieglitz M, Tietz H. Matrix transformationen von folgenraumen eine ergebnisübersicht. Math Z. 1977;154:1–16.
  • Kirişçi M, Başar F. Some new sequence spaces derived by the domain of generalized difference matrix. Comput Math Appl. 2010;60:1299–1309.
  • Ercan S, Bektaş ÇA. Some topological and geometric properties of a new BK-space derived by using regular matrix of Fibonacci numbers. Linear Multilinear Algebra. 2017;65:909–921.
  • Şimşek N, Savaş E, Karakaya V. On geometrical properties of some Banach spaces. Appl Math Inf Sci. 2013;7:295–300.
  • Karakaş M, Çınar M, Et M. Some geometric properties of a new sequence space. J Comput Anal Appl. 2013;15:23–31.
  • Yaying T, Hazarika B, Esi A. Geometric properties and compact operator on fractional riesz difference space. Kragujevac J Math. 2023;47:545–566.
  • Güngör N. Some geometric properties of the non-Newtonian sequence spaces lp(N). Math Slovaca. 2020;70:689–696.
  • Chidume C. Geometric properties of Banach spaces and nonlinear iterations. Lecture notes in mathematics. Vol. 1965. London: Springer-Verlag; 2009.
  • James CR. Super reflexive spaces with bases. Pasific J Math. 1972;41:409–419.
  • Diestel J. Geometry of Banach spaces-selected topics. Lecture notes in mathematics. Vol. 485. Berlin: Springer-Verlag; 1976.

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