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On \(\mu \)-deferred statistical convergence and strongly deferred summable functions

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Abstract

In this paper we introduce the concepts of strongly deferred Cesàro summable and \(\mu \)-deferred statistical convergence of real-valued functions \(x=x(t)\) which are measurable (in the Lebesgue sense) in the interval \([1,\infty )\). In addition, the relations between the set of strong deferred Cesàro summable and \(\mu \)-deferred statistical convergent of functions have been examined under some restrictions.

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Acknowledgements

We would like to thank to the referees who contributed to the final form of the manuscript with their positive comments and suggestions. We also thank the editor of the journal who managed the referee process successfully.

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Authors and Affiliations

  1. Department of Mathematics, Fırat University, 23119, Elazig, Turkey

    Mikail Et

  2. Gangadhar Meher University, Sambalpur, 768004, India

    Pinakadhar Baliarsingh

  3. Faculty of Education, Harran University, Osmanbey Campus, 63190, Şanlurfa, Turkey

    Hacer Şengül Kandemir

  4. Department of Mathematics, Mersin University, Mersin, Turkey

    Mehmet Küçükaslan

Authors
  1. Mikail Et
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  2. Pinakadhar Baliarsingh
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  3. Hacer Şengül Kandemir
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  4. Mehmet Küçükaslan
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Correspondence to Pinakadhar Baliarsingh.

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Et, M., Baliarsingh, P., Kandemir, H.Ş. et al. On \(\mu \)-deferred statistical convergence and strongly deferred summable functions. RACSAM 115, 34 (2021). https://doi.org/10.1007/s13398-020-00983-4

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  • DOI: https://doi.org/10.1007/s13398-020-00983-4

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