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$ f $-Statistical convergence on topological modules

  • Received: 29 December 2021 Revised: 08 March 2022 Accepted: 25 March 2022 Published: 19 April 2022
  • The classical notion of statistical convergence has recently been transported to the scope of real normed spaces by means of the $ f $-statistical convergence for $ f $ a modulus function. Here, we go several steps further and extend the $ f $-statistical convergence to the scope of uniform spaces, obtaining particular cases of $ f $-statistical convergence on pseudometric spaces and topological modules.

    Citation: Francisco Javier García-Pacheco, Ramazan Kama. $ f $-Statistical convergence on topological modules[J]. Electronic Research Archive, 2022, 30(6): 2183-2195. doi: 10.3934/era.2022110

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  • The classical notion of statistical convergence has recently been transported to the scope of real normed spaces by means of the $ f $-statistical convergence for $ f $ a modulus function. Here, we go several steps further and extend the $ f $-statistical convergence to the scope of uniform spaces, obtaining particular cases of $ f $-statistical convergence on pseudometric spaces and topological modules.



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