Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON ALMOST DEFERRED WEIGHTED CONVERGENCE

  • M. AIYUB (Department of Mathematics, University of Bahrain, Kingdom of Bahrain) ;
  • SONALI SHARMA (Department of Mathematics, Shri Mata Vaishno Devi University) ;
  • KULDIP RAJ (Department of Mathematics, Shri Mata Vaishno Devi University)
  • Received : 2022.12.02
  • Accepted : 2023.12.07
  • Published : 2024.03.30
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Abstract

This article introduces the notion of almost deferred weighted convergence, statistical deferred weighted almost convergence and almost deferred weighted statistical convergence for real valued sequences. Further, with the aid of interesting examples, we investigated some relationships among our proposed methods. Moreover, we prove a new type of approximation theorem and demonstrated that our theorem effectively extends and improves most of the earlier existing results. Finally, we have presented an example which proves that our theorem is a stronger than its classical versions.

Keywords

Acknowledgement

The corresponding author thanks the Council of Scientific and Industrial Research (CSIR), India for partial support under Grant No. 25(0288)/18/EMR-II, dated 24/05/2018.

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