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March 15, 2026Filomat0 citationsOpen Access

On deferred sequence spaces defined by invariant convergence

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ESEkrem SAVAS

Key Points

  • The study aims to define and explore the deferred Cesàro mean using invariant convergence.
  • Defined deferred Cesàro mean within the framework of summability methods.
  • Studied properties of deferred sequence spaces and their relations.
  • Explored applications of the concepts in broader summability contexts.
  • Identified key properties of deferred Cesàro means.
  • Established connections between various sequence spaces and summability methods.
  • Contributed insights that may inform future research in summability theory.

Abstract

The main contribution of this paper is to define the notion of deferred Ces?ro mean coming from modern summability methods by using invariant means and study some of its properties and also establish relations among these sequence spaces. These ideas and results are expected to be a source for researchers in the area of summability theory. In the end we can say that this concept can be generalized and applied for further studies.

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Cite This Study

Ekrem SAVAS (2025) studied this question.

synapsesocial.com/papers/69b606af83145bc643d1ce0chttps://doi.org/10.2298/fil2521261s
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Certain Aspects of Deferred Statistical Convergence of Sequences in Probabilistic Normed Spaces2024
  2. 2On deferred arithmetic statistical convergence2026
  3. 3Egorov’s Theorem Via Deferred Cesàro Statistical Convergence in Measure for Fuzzy Valued Sequences2025
  4. 4On Certain Statistical Convergence Criteria for Martingale Sequences via Deferred Ces`aro Mean with Some Applications2024
  5. 5Statistical Riemann and Lebesgue integrability by deferred Cesàro and deferred Nörlund mean and Korovkin’s theorem2025